Alexios Polychronakos

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Alexios P. Polychronakos

Professor

Executive Officer, CUNY Physics PhD Program

Main Affiliation

Physics

Additional Departments/Affiliated Programs

Graduate Center

Areas of Expertise/Research

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

Building

Marshak Science Building

Office

312A

Phone

212-650-5536

Fax

212-650-6940

Email

apolychronakos@ccny.cuny.edu

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