Alexios P. Polychronakos

Professor

Executive Officer, CUNY Physics PhD Program

Main Affiliation

Physics

Additional Departments/Affiliated Programs

Graduate Center

Areas of Expertise/Research

  • Quantum Field Theory
  • Quantum Statistics
  • Elementary Particle Physics
  • Anyons
  • Solitons
  • Integrable Systems
  • Quantum Fluids

Building

Marshak Science Building

Office

312A

Phone

212-650-5536

Fax

212-650-6940

Alexios P. Polychronakos

Profile

2012 • APS Fellow

 

2020 - 2023 • Executive Officer, CUNY PhD Physics Program

2013 - 2016 • Chair, Physics Department

2003 - present • Professor of Physics, City College of New York and Graduate Center of CUNY

1995 - 2002 • Associate Professor, Theoretical Physics Department, Uppsala University

1996 - 2002 • Associate Professor, Physics Department, University of Ioannina

1997 - 2000 • Chair, Theoretical Physics Department, Uppsala University

1998 - 2000 • Administrator, Elementary Particles Program, Uppsala University

1992 - 1995 • Fellow, Theory Division, CERN

1990 - 1992 • Research Scientist, Physics Department, Columbia University

1997 - 1990 • Institute of Fundamental Theory Fellow, University of Florida

 

Visiting Positions

 

2008 - present • Professeur Invité, Université Paris-Saclay

2004-5, 2014 • Visiting Professor, Universita de Santiago de Chile

2002 - 2003 • Visiting Professor, Rockefeller University

1995 - 1996 • Invited Member, Norwegian Academy of Sciences, Center for Advanced Study

 

 

 

Education

Ph.D., M.Sc., California Institute of Technology
E.E. Diploma, National Technological University of Athens

Courses Taught

Graduate Center
  • PHYS 74800: Theory of Relativity and Gravitation

City College of New York
  • PHYS V1100: Analytical Dynamics

  • PHYS 556: Physics Seminar

  • PHYS 552: Quantum Physics II

  • PHYS 551: Quantum Physics I

  • PHYS 31506: Analytical Mechanics

  • PHYS 352: Mechanics II

  • PHYS 351: Mechanics I

  • PHYS 208 Honors: General Physics II

  • PHYS 207 Honors: General Physics I

  • SCI 10101: Concepts in Physics

Research Interests

Research Interests

  • High energy physics
  • Elementary Particle Physics
  • Quantum Field and String Theory
  • Integrable Models
  • Spin Chains
  • Black Holes
  • Quantum Statistics
  • Anyons and the Quantum Hall Effect

Publications

h-index: 41

arXiv.org

Google Scholar

iNSPIRE


a. Publications in refereed journals


1) INDUCED VACUUM QUANTUM NUMBERS IN (2+1) DIMENSIONS
Nucl.Phys.B278:207,1986


2) TOPOLOGICAL MASS QUANTIZATION AND PARITY VIOLATION IN (2+1)-DIMENSIONAL QED
Nucl.Phys.B281:241,1987


3) BOUNDARY CONDITIONS, VACUUM QUANTUM NUMBERS AND THE INDEX THEOREM
Nucl.Phys.B283:268,1987


4) A PHYSICAL LOOK AT VACUUM FERMIONIC CHARGE
Phys.Rev.D35:1417,1987


5) TOPOLOGICAL ORIGIN OF THE ANGULAR MOMENTUM INDUCED BY THE CHERN-SIMONS FORM
Phys.Lett.B192:385,1987


6) SYMMETRY BREAKING PATTERNS IN (2+1)-DIMENSIONAL GAUGE THEORIES
Phys.Rev.Lett.60:1920,1988


7) NONRELATIVISTIC BOSONIZATION AND FRACTIONAL STATISTICS
Nucl.Phys.B324:597,1989


8) GRAVITATIONAL TIME DELAY DUE TO A SPINNING STRING
(with D. Harari). Phys.Rev.D38:3320,1988


9) ABELIAN CHERN-SIMONS THEORIES IN (2+1) DIMENSIONS
Ann.Phys.203:231-254,1990


10) A GLOBAL STRING WITH AN EVENT HORIZON
(with D. Harari). Phys.Lett.B240:55,1990


11) ON THE QUANTIZATION OF THE COEFFICIENT OF THE ABELIAN CHERN-SIMONS TERM
Phys.Lett.B241:37,1990


12) A CLASSICAL REALIZATION OF QUANTUM ALGEBRAS
Mod.Phys.Lett.A5:2325-2334,1990


13) CONSISTENCY CONDITIONS AND REPRESENTATIONS OF A Q DEFORMED VIRASORO ALGEBRA
Phys.Lett.B256:35-40,1991


14) LOCAL AND GLOBAL ANOMALIES IN THE STOCHASTIC QUANTIZATION METHOD
(with R. Tzani). Phys.Lett.B259:298-306,1991


15) TOPOLOGICAL ACTIONS IN THE STOCHASTIC QUANTIZATION METHOD
(with R. Tzani). Phys.Lett.B259:291-297,1991


16) EXACT ANYONIC STATES FOR A GENERAL QUADRATIC HAMILTONIAN
Phys.Lett.B264:362-366,1991


17) INTEGRABLE SYSTEMS FROM GAUGED MATRIX MODELS
Phys.Lett.B266:29-34,1991


18) A NEW INTEGRABLE SYSTEM WITH A QUARTIC POTENTIAL
Phys.Lett.B276:341-346,1992


19) NEW INTEGRABLE SYSTEMS FROM UNITARY MATRIX MODELS
Phys.Lett.B277:102-108,1992


20) EXCHANGE OPERATOR FORMALISM FOR INTEGRABLE SYSTEMS OF PARTICLES
Phys.Rev.Lett.69:703-705,1992


21) INTEGRABLE SYSTEMS FOR PARTICLES WITH INTERNAL DEGREES OF FREEDOM
(with J. Minahan). Phys.Lett.B302:265-270,1993


22) SCHRODINGER EQUATION FOR PARTICLE WITH FRICTION
(with R. Tzani). Phys.Lett.B302:255-260,1993


23) LATTICE INTEGRABLE SYSTEMS OF HALDANE-SHASTRY TYPE
Phys.Rev.Lett.70:2329-2331,1993


24) ON THE ELECTROMAGNETIC INTERACTIONS OF ANYONS
(with C. Chou and V.P. Nair). Phys.Lett.B304:105-110,1993


25) EQUIVALENCE OF TWO-DIMENSIONAL QCD AND THE C = 1 MATRIX MODEL
(with J. Minahan). Phys.Lett.B312:155-165,1993


26) INTERACTING FERMION SYSTEMS FROM TWO-DIMENSIONAL QCD
(with J. Minahan). Phys.Lett.B326:288-294,1994


27) CLASSICAL SOLUTIONS FOR TWO-DIMENSIONAL QCD ON THE SPHERE
(with J. Minahan). Nucl.Phys.B422:172-194,1994


28) EXACT SPECTRUM OF SU(N) SPIN CHAIN WITH INVERSE SQUARE EXCHANGE
Nucl.Phys.B419:553-566,1994


29) DENSITY CORRELATION FUNCTIONS IN CALOGERO-SUTHERLAND MODELS
(with J. Minahan). Phys.Rev.B50:4236,1994


30) WAVES AND SOLITONS IN THE CONTINUUM LIMIT OF THE CALOGERO-SUTHERLAND MODEL
Phys.Rev.Lett.74:5153-5157,1995


31) PROBABILITIES AND PATH-INTEGRAL REALIZATION OF EXCLUSION STATISTICS
Phys.Lett.B365:202-206,1996


32) THERMODYNAMICS FOR FRACTIONAL EXCLUSION STATISTICS
(with S. Isakov, D. Arovas and J. Myrheim). Phys.Lett.A212:299-303,1996


33) QUASIHOLE WAVE FUNCTIONS FOR THE CALOGERO MODEL
Mod.Phys.Lett.A11:1273-1280,1996


34) PATH INTEGRALS AND PARASTATISTICS
Nucl.Phys.B474:529-539,1996


35) ALGEBRA OF OBSERVABLES FOR IDENTICAL PARTICLES IN ONE-DIMENSION
(with S. Isakov, J.M. Leinaas, J. Myrheim and R. Varnhagen). Phys.Lett.B430:151-160,1998


36) UNITARY MATRIX MODEL FOR TOROIDAL COMPACTIFICATIONS OF M THEORY
Phys.Lett.B403:239-242,1997


37) MULTIDIMENSIONAL CALOGERO SYSTEMS FROM MATRIX MODELS
Phys.Lett.B408:117-121,1997


38) ON THE INSTANTON SOLUTIONS OF THE SELFDUAL MEMBRANE IN VARIOUS DIMENSIONS
(with E. Floratos, G. Leontaris and R. Tzani). Phys.Lett.B421:125-130,1998


39) QUARKS, MONOPOLES AND DYONS AT LARGE N
(with U. Danielsson). Phys.Lett.B434:294-302,1998


40) GENERALIZED CALOGERO-SUTHERLAND SYSTEMS FROM MANY MATRIX MODELS
Nucl.Phys.B546:495-502,1999


41) GENERALIZED CALOGERO MODELS THROUGH REDUCTIONS BY DISCRETE SYMMETRIES
Nucl.Phys.B543:485-498,1999


42) FLUID DYNAMICAL PROFILES AND CONSTANTS OF MOTION FROM D-BRANES
(with R. Jackiw). Commun.Math.Phys.207:107-129,1999


43) ON THE VIRIAL COEFFICIENTS OF NONABELIAN ANYONS
Phys.Rev.Lett.84:1268-1271,2000


44) SUPERSYMMETRIC FLUID MECHANICS
(with R. Jackiw). Phys.Rev.D62:085019,2000


45) CLEBSCH (STRING) DECOMPOSITION IN D=3 FIELD THEORY
(with S. Deser and R. Jackiw). Phys.Lett.A279:151-153,2001


46) FLUX TUBE SOLUTIONS IN NONCOMMUTATIVE GAUGE THEORIES
Phys.Lett.B495:407-412,2000


47) NONCOMMUTATIVE CHERN-SIMONS TERMS AND THE NONCOMMUTATIVE VACUUM
JHEP 0011:008,2000


48) QUANTUM MECHANICS ON THE NONCOMMUTATIVE PLANE AND SPHERE
(with V.P. Nair). Phys.Lett.B505:267-274,2001


49) QUANTUM MECHANICS ON THE NONCOMMUTATIVE TORUS
(with B. Morariu). Nucl.Phys.B610:531-544,2001


50) ON LEVEL QUANTIZATION FOR THE NONCOMMUTATIVE CHERN-SIMONS THEORY
(with V.P. Nair). Phys.Rev.Lett.87:030403,2001


51) QUANTUM HALL STATES AS MATRIX CHERN-SIMONS THEORY
JHEP 0104:011,2001


52) QUANTUM HALL STATES ON THE CYLINDER AS UNITARY MATRIX CHERN-SIMONS THEORY.
JHEP 0106:070,2001


53) FINITE NONCOMMUTATIVE CHERN-SIMONS WITH A WILSON LINE AND THE QUANTUM HALL EFFECT
(with B. Morariu). JHEP 0107:006,2001


54) TESTING NONCOMMUTATIVE QED, CONSTRUCTING NONCOMMUTATIVE MHD
(with Z. Guralnik, R. Jackiw and S.Y. Pi). Phys.Lett.B517:450-456,2001


55) AREA POTENTIALS AND DEFORMATION QUANTIZATION
(with T. Curtright and C. Zachos). Phys.Lett.A295:241-246,2002


56) SPECTRUM OF SCHRODINGER FIELD IN A NONCOMMUTATIVE MAGNETIC MONOPOLE
(with D. Karabali and V.P. Nair). Nucl.Phys.B627:565-579,2002


57) CALOGERO-MOSER MODELS WITH NONCOMMUTATIVE SPIN INTERACTIONS
Phys.Rev.Lett.89:126403,2002


58) QUANTUM MECHANICS ON NONCOMMUTATIVE RIEMANN SURFACES
(with B. Morariu). Nucl.Phys.B634:326-338,2002


59) SEIBERG-WITTEN MAP AND TOPOLOGY
Annals Phys.301:174-183,2002


60) NONCOMMUTING GAUGE FIELDS AS A LAGRANGE FLUID
(with R. Jackiw and S.Y. Pi). Annals Phys.301:157-173,2002


61) ON AREA AND ENTROPY OF A BLACK HOLE
(with A. Alekseev and M. Smedbäck). Phys.Lett.B574:296-300,2003


62) AREA SPECTRUM AND QUASINORMAL MODES OF BLACK HOLES
Phys.Rev.D69:044010,2004


63) REMARKS ON BLACK HOLE ENTROPY AND HAWKING SPECTRUM IN LOOP QUANTUM GRAVITY
(with A. Alekseev and M. Smedback). Phys.Rev.D71:067501,2005


64) CHIRAL ACTIONS FROM PHASE SPACE (QUANTUM HALL) DROPLETS
Nucl.Phys.B705:457-476,2005


65) KAC-MOODY THEORIES FOR COLORED PHASE SPACE (QUANTUM HALL) DROPLETS
Nucl.Phys.B711:505,2005


66) BOSONIZATION IN HIGHER DIMENSIONS VIA NONCOMMUTATIVE FIELD THEORY
Phys.Rev.Lett.96:1818,2006


67) FRACTIONAL QUANTUM HALL EFFECT ON THE SPHERE: A MATRIX MODEL PROPOSAL
(with B. Morariu). Phys.Rev.D72125002,2005


68) ULTRAVIOLET MODIFIED PHOTONS AND ANISOTROPIES IN THE COSMIC MICROWAVE BACKGROUND RADIATION
(with J. Gamboa and J. Lopez-Sarrion). Phys.Lett.B634:471,2006


69) BPS OPERATORS IN N=4 SYM: CALOGERO MODELS AND 2-D FERMIONS
(with A. Agarwal). JHEP 0608:034,2006


70) THE FERMION DENSITY OPERATOR IN THE DROPLET BOSONIZATION PICTURE
(with A. Enciso). Nucl.Phys.B751:376,2006


71) NONCOMMUTATIVE WESS-ZUMINO ACTIONS AND THEIR SEIBERG-WITTEN INVARIANCE
(with J. Lopez-Sarrion). Nucl.Phys.B799:291,2008.


72) ON THE LIEB-LINIGER MODEL AT THE INFINITE COUPLING CONSTANT LIMIT
(with S. Ouvry). J. Phys. A: Math. Theor. 42 (2009) 275302


73) PARTICLE KINEMATICS IN HORAVA-LIFSHITZ GRAVITY
(with D. Capasso). JHEP 1002:068, 2010


74) GENERAL STATIC SPHERICALLY SYMMETRIC SOLUTIONS IN HORAVA GRAVITY
(with D. Capasso). Phys.Rev.D81:084009, 2010


75) SOLVING FIELD EQUATIONS IN NON-ISOMETRIC COSET CFT BACKGROUNDS
(with K. Sfetsos). Nucl.Phys.B840:534, 2010


76) HIGH SPIN LIMITS AND NON-ABELIAN T-DUALITY
(with K. Sfetsos). Nucl. Phys. B843:344 (2011)


77) STATISTICAL CURSE OF THE RECURRING SECOND HALF RANK
(with J. Desbois and S. Ouvry). J. Stat. Mech: P01025 (2011)


78) FUZZY SPACES AND NEW RANDOM MATRIX ENSEMBLES
(with V.P. Nair and J. Tekel). Phys. Rev. D85:045021 (2012)


79) TWO-DIMENSIONAL BORN-INFELD GAUGE THEORY: SPECTRUM, STRING PICTURE AND LARGE-N PHASE TRANSITION
Phys. Rev. D85:105024 (2012)


80) BRANE COMPACTIFICATIONS AND 4-DIMENSIONAL GEOMETRY IN THE IKKT MODEL
(with H. Steinacker and J. Zahn), Nucl. Phys. B875 (2013) 566


81) THE QUANTUM ANGULAR CALOGERO-MOSER MODEL
(with. M. Feigin and O. Lechtenfeld). JHEP 1307 (2013) 162


82) EFFECTIVE ACTION AND PHASE TRANSITIONS OF SCALAR FIELD ON THE FUZZY SPHERE
Phys. Rev. D88 (2013) 065010


83) EXACT OPERATOR HAMILTONIANS AND INTERACTIONS IN THE DROPLET BOSONIZATION METHOD
(with D. Karabali). Phys. Rev. D90 (2014) 2, 025002


84) COSMIC FOUR-FERMION NEUTRINO INTERACTIONS, SOMMERFELD ENHANCEMENT AND TOTAL CROSS SECTION
(with D. Carcamo, A. Das, J. Gamboa and F. Mendez). Phys. Rev. D 91 (2015) 6, 065028


85) STATISTICS OF TWO-DIMENSIONAL RANDOM WALKS, THE “CYCLIC SIEVING PHENOMENON” AND THE HOFSTADTER MODEL
(with S. Mashkevich and S. Ouvry). Journal of Physics A (2015) 48, No. 5


86) COMPOSITION OF MANY SPINS, RANDOM WALKS AND STATISTICS
(with K. Sfetsos) Nucl. Phys. B913 (2016) 664


87) EMERGENCE OF CALOGERO FAMILY OF MODELS IN EXTERNAL POTENTIALS: DUALITY, SOLITONS AND HYDRODYNAMICS
(with M. Kulkarni). Journal of Physics A (2017) 50, No. 45


88) MAPPING THE CALOGERO MODEL ON THE ANYON MODEL
(with S. Ouvry) Nucl. Phys. B936 (2018) 189


89) FEYNMAN’S PROOF OF THE COMMTATIVITY OF THE CALOGERO INTEGRALS OF MOTION
Annals of Physics 403 (2019) 145


90) EXCLUSION STATISTICS AND LATTICE RANDOM WALKS
(with S. Ouvry) Nucl. Phys. B948 (2019) 114731


91) ANYONS ON THE SPHERE: ANALYTIC STATES AND SPECTRUM
(with S. Ouvry) Nucl. Phys. B949 (2019) 114797


92) TWO ANYONS ON THE SPHERE: NONLINEAR STATES AND SPECTRUM
(with S. Ouvry) Nucl. Phys. B951 (2020) 114906


93) SOLITONS IN FLUCTUATING HYDRODYNAMICS OF DIFFUSIVE PROCESSES
Phys. Rev. E 101 (2020) 022209


94) LYAPUNOV EXPONENTS AND ENTANGLEMENT ENTROPY TRANSITION ON THE NONCOMMUTATIVE HYPEBOLIC PLANE                                                                                                                                                                        (with S. Ganeshan) To appear in SciPost Physics


95) LATTICE WALK AREA COMBINATORICS, REMARKABLE TRIGONOMETRIC SUMS AND APERY-LIKE NUMBERS     Submitted to Nucl. Phys. B


96) EXCHANGE INTERACTIONS, YANG-BAXTER RELATIONS AND TRANSPARENT PARTICLES                                      Submitted to Nucl. Phys. B


97) DUAL FORMULATION AND HYDRODYNAMICS OF ELLIPTIC CALOGERO MODELS
(with M. Kulkarni) In preparation


b. Original Conference Proceedings with unpublished material


98) SOLITONS AND FRACTIONAL STATISTICS
Nucl. Phys. Proc. Suppl.45A:81-87,1996.


99) DYNAMICAL POINCARE SYMMETRY REALIZED BY FIELD DEPENDENT DIFFEOMORPHISMS
(with R. Jackiw). Faddeev Festschrift, Steklov Mathematical Institute Proceedings, APP


100) THE AREA-ENTROPY RELATION FOR BLACK HOLES
Current Developments in High-Energy Physics, Ioannina, Greece, April 2000.


c. Books and Reviews:


101) GENERALIZED STATISTICS IN ONE DIMENSION
Les Houches Summer School in Theoretical Physics, Session 69: Topological Aspects of Low-dimensional Systems, Les Houches, France, 7-31 Jul 1998. Springer Ed. 54pp


102) PERFECT FLUID THEORY AND ITS EXTENSIONS
(with R. Jackiw, V.P. Nair and S.Y. Pi). Invited review for J.Phys.A37:R327-R432,2004. 138pp


103) PHYSICS AND MATHEMATICS OF CALOGERO PARTICLES
Invited review for J.Phys.A:Math.Gen.39:12793,2006. 65pp


104) NONCOMMUTATIVE FLUIDS
Invited contribution to Séminaire Poincaré X “Espaces Quantiques,” Institut Henri Poincaré, April 2007. 42pp


105) CALOGERO PARTICLES AND FLUIDS: A REVIEW
Lecture series at the Tata Institute of Physics, Bangalore, 2018


d. Doctoral Thesis:


106) ANOMALOUS QUANTUM NUMBERS AND TOPOLOGICAL PROPERTIES OF FIELD THEORIES
UMI-87-19693-fiche. Ph.D. Thesis, California Institute of Technology. 167 pp


e. Publications in other fields:


107) CORRELATION BREAKDOWN, COPULA CREDIT DEFAULT MODELS AND ARBITRAGE
(with R. Tzani). Special feature article in GARP Risk Review Journal, November/December 2008

 
f. Article of general interest:

108) FEYNMAN'S LEGACY: REMINISCENCES FROM HIS LAST YEAR
CCNY Physics Newsletter, Volume 11, 2018

 

Outreach

The 2017 Physics Nobel Prize: Gravitational Waves

Presentation for students and scientists, New York, Paris, Bengaluru

 

 

 

 

100 Years of Feynman and 30 without him: reminiscences from his last year

Presentation for interested audiences in New York, Providence, France, India

 

 

 

 

Feynman's Legacy: Reminiscences from his last year

Article in CCNY Physics Newsletter, Volume 11, 2018

 

 

 

 

Theoretical Physics: Unraveling Nature's Beauty and Order

Day of Science presentation, City College, April 2019

 

 

 

 

Theoretical Physics: what it takes to become a graduate student

Presentation for Physics students during the Month of Physics, City College, October 2019