메뉴 건너뛰기




Volumn 8, Issue 5, 2004, Pages 455-471

Chiral bosonization for non-commutative fields

Author keywords

Field Theories in Lower Dimensions; Space Time Symmetries

Indexed keywords


EID: 23044505910     PISSN: 10298479     EISSN: 10298479     Source Type: Journal    
DOI: 10.1088/1126-6708/2004/05/022     Document Type: Article
Times cited : (5)

References (53)
  • 2
    • 0003585220 scopus 로고
    • World Scientific, Singapore
    • For many important references see D. Mattis in, The many body problem, World Scientific, Singapore 1993.
    • (1993) The Many Body Problem
    • Mattis, D.1
  • 4
    • 0004146228 scopus 로고    scopus 로고
    • World Scientific, Singapore
    • M. Stone, Bosonization, World Scientific, Singapore 1997.
    • (1997) Bosonization
    • Stone, M.1
  • 5
    • 0032565858 scopus 로고    scopus 로고
    • Tests of quantum gravity from observations of γ-ray bursts
    • The literature in this field is extensive, see e.g., G. Amelino-Camelia, J. Ellis, N.E. Mavromatos, D.V. Nanopoulos and S. Sarkar, Tests of quantum gravity from observations of γ-ray bursts, Nature 393 (1998) 763;
    • (1998) Nature , vol.393 , pp. 763
    • Amelino-Camelia, G.1    Ellis, J.2    Mavromatos, N.E.3    Nanopoulos, D.V.4    Sarkar, S.5
  • 7
    • 0346727091 scopus 로고    scopus 로고
    • Quantum gravity corrections to neutrino propagation
    • [gr-qc/9909079]
    • J. Alfaro, H.A. Morales-Tecotl and L.F. Urrutia, Quantum gravity corrections to neutrino propagation, Phys. Rev. Lett. 84 (2000) 2318 [gr-qc/9909079];
    • (2000) Phys. Rev. Lett. , vol.84 , pp. 2318
    • Alfaro, J.1    Morales-Tecotl, H.A.2    Urrutia, L.F.3
  • 8
    • 0037053141 scopus 로고    scopus 로고
    • Loop quantum gravity and light propagation
    • [hep-th/0108061]
    • Loop quantum gravity and light propagation, Phys. Rev. D 65 (2002) 103509 [hep-th/0108061];
    • (2002) Phys. Rev. D , vol.65 , pp. 103509
  • 9
    • 0037053174 scopus 로고    scopus 로고
    • Loop quantum gravity corrections and cosmic rays decays
    • [hep-th/0111176]
    • J. Alfaro and G. Palma, Loop quantum gravity corrections and cosmic rays decays, Phys. Rev. D 65 (2002) 103516 [hep-th/0111176].
    • (2002) Phys. Rev. D , vol.65 , pp. 103516
    • Alfaro, J.1    Palma, G.2
  • 10
    • 0037035925 scopus 로고    scopus 로고
    • Quantum-gravity phenomenology: Status and prospects
    • [gr-qc/0204051]
    • G. Amelino-Camelia, Quantum-gravity phenomenology: status and prospects, Mod. Phys. Lett. A 17 (2002) 899 [gr-qc/0204051];
    • (2002) Mod. Phys. Lett. A , vol.17 , pp. 899
    • Amelino-Camelia, G.1
  • 11
    • 0035927457 scopus 로고    scopus 로고
    • Testable scenario for relativity with minimum-length
    • [hep-th/OO 12238]
    • Testable scenario for relativity with minimum-length, Phys. Lett. B 510 (2001) 255 [hep-th/OO 12238];
    • (2001) Phys. Lett. B , vol.510 , pp. 255
  • 12
    • 0037071333 scopus 로고    scopus 로고
    • Lorentz invariance with an invariant energy scale
    • [hep-th/O112090]
    • J. Magueijo and L. Smolin, Lorentz invariance with an invariant energy scale, Phys. Rev. Lett. 88 (2002) 190403 [hep-th/O112090].
    • (2002) Phys. Rev. Lett. , vol.88 , pp. 190403
    • Magueijo, J.1    Smolin, L.2
  • 13
    • 0001702919 scopus 로고    scopus 로고
    • Observer independent quantum of mass
    • [hep-th/0102098]
    • J. Kowalski-Glikman, Observer independent quantum of mass, Phys. Lett. A 286 (2001) 391 [hep-th/0102098];
    • (2001) Phys. Lett. A , vol.286 , pp. 391
    • Kowalski-Glikman, J.1
  • 14
    • 0037428271 scopus 로고    scopus 로고
    • Doubly special relativity versus κ-deformation of relativistic kinematics
    • [hep-th/0203065]
    • J. Lukierski and A. Nowicki, Doubly special relativity versus κ-deformation of relativistic kinematics, Int. J. Mod. Phys. A 18 (2003) 7 [hep-th/0203065];
    • (2003) Int. J. Mod. Phys. A , vol.18 , pp. 7
    • Lukierski, J.1    Nowicki, A.2
  • 15
    • 0037292660 scopus 로고    scopus 로고
    • Non-commutative space-time of doubly special relativity theories
    • [hep-th/0204245]
    • J. Kowalski-Glikman and S. Nowak, Non-commutative space-time of doubly special relativity theories, Int. J. Mod. Phys. D12 (2003) 299-316 [hep-th/0204245];
    • (2003) Int. J. Mod. Phys. , vol.D12 , pp. 299-316
    • Kowalski-Glikman, J.1    Nowak, S.2
  • 18
    • 0035423635 scopus 로고    scopus 로고
    • Planck-scale deformation of Lorentz symmetry as a solution to the uhecr and the TeV γ paradoxes
    • [astro-ph/0008107]
    • G. Amelino-Camelia and T. Piran, Planck-scale deformation of Lorentz symmetry as a solution to the uhecr and the TeV γ paradoxes, Phys. Rev. D 64 (2001) 036005 [astro-ph/0008107];
    • (2001) Phys. Rev. D , vol.64 , pp. 036005
    • Amelino-Camelia, G.1    Piran, T.2
  • 19
    • 0035423635 scopus 로고    scopus 로고
    • Planck-scale deformation of Lorentz symmetry as a solution to the uhecr and the TeV-gamma paradoxes
    • [astro-ph/0008107]
    • G. Amelino-Camelia and T. Piran, Planck-scale deformation of Lorentz symmetry as a solution to the uhecr and the TeV-gamma paradoxes, Phys. Rev. D 64 (2001) 036005 [astro-ph/0008107];
    • (2001) Phys. Rev. D , vol.64 , pp. 036005
    • Amelino-Camelia, G.1    Piran, T.2
  • 20
    • 0039657208 scopus 로고    scopus 로고
    • Invariance violation extends the cosmic ray horizon?
    • [astro-ph/9904164]
    • T. Kifune, Invariance violation extends the cosmic ray horizon?, Astrophys. J. 518 (1999) L21-L24 [astro-ph/9904164];
    • (1999) Astrophys. J. , vol.518
    • Kifune, T.1
  • 21
    • 23044452241 scopus 로고    scopus 로고
    • Astron. J. 518 (1999) L21.
    • (1999) Astron. J. , vol.518
  • 22
    • 0038440745 scopus 로고    scopus 로고
    • Ultrahigh energy cosmic rays: The state of the art before the auger observatory
    • [hep-ph/0206072]
    • For a review see, L. Anchordoqui, T. Paul, S. Reucroft and J. Swain, Ultrahigh energy cosmic rays: the state of the art before the auger observatory, Int. J. Mod. Phys. A 18 (2003) 2229 [hep-ph/0206072].
    • (2003) Int. J. Mod. Phys. A , vol.18 , pp. 2229
    • Anchordoqui, L.1    Paul, T.2    Reucroft, S.3    Swain, J.4
  • 24
    • 0038267458 scopus 로고    scopus 로고
    • Noncommutativity in field space and Lorentz invariance violation
    • [hep-th/0207158]
    • Noncommutativity in field space and Lorentz invariance violation, Phys. Lett. B 565 (2003) 222 [hep-th/0207158].
    • (2003) Phys. Lett. B , vol.565 , pp. 222
  • 25
    • 85037889819 scopus 로고    scopus 로고
    • High-energy tests of Lorentz invariance
    • [hep-ph/9812418]
    • S.R. Coleman and S.L. Glashow, High-energy tests of Lorentz invariance, Phys. Rev. D 59 (1999) 116008 [hep-ph/9812418].
    • (1999) Phys. Rev. D , vol.59 , pp. 116008
    • Coleman, S.R.1    Glashow, S.L.2
  • 26
    • 0035811884 scopus 로고    scopus 로고
    • Cross sections and Lorentz violation
    • [hep-ph/0104300]
    • D. Colladay and V.A. Kostelecký, Cross sections and Lorentz violation, Phys. Lett. B 511 (2001) 209 [hep-ph/0104300];
    • (2001) Phys. Lett. B , vol.511 , pp. 209
    • Colladay, D.1    Kostelecký, V.A.2
  • 27
    • 0034909525 scopus 로고    scopus 로고
    • Stability, causality and Lorentz and CPT violation
    • [hep-th/0012060]
    • V.A. Kostelecký and R. Lehnert, Stability, causality and Lorentz and CPT violation, Phys. Rev. D 63 (2001) 065008 [hep-th/0012060];
    • (2001) Phys. Rev. D , vol.63 , pp. 065008
    • Kostelecký, V.A.1    Lehnert, R.2
  • 28
    • 0001590892 scopus 로고    scopus 로고
    • Lorentz and cpt tests with spin-polarized solids
    • [hep-ph/9912542]
    • R. Bluhm and V.A. Kostelecky, Lorentz and cpt tests with spin-polarized solids, Phys. Rev. Lett. 84 (2000) 1381 [hep-ph/9912542];
    • (2000) Phys. Rev. Lett. , vol.84 , pp. 1381
    • Bluhm, R.1    Kostelecky, V.A.2
  • 29
    • 18244364374 scopus 로고    scopus 로고
    • Constraints on Lorentz violation from clock-comparison experiments
    • [hep-ph/9908504]
    • V.A. Kostelecký and C.D. Lane, Constraints on Lorentz violation from clock-comparison experiments, Phys. Rev. D 60 (1999) 116010 [hep-ph/9908504];
    • (1999) Phys. Rev. D , vol.60 , pp. 116010
    • Kostelecký, V.A.1    Lane, C.D.2
  • 30
    • 0000659715 scopus 로고    scopus 로고
    • Radiatively induced Lorentz and CPT violation in electrodynamics
    • [hep-ph/9901358]
    • R. Jackiw and V.A. Kostelecky, Radiatively induced Lorentz and CPT violation in electrodynamics, Phys. Rev. Lett. 82 (1999) 3572 [hep-ph/9901358];
    • (1999) Phys. Rev. Lett. , vol.82 , pp. 3572
    • Jackiw, R.1    Kostelecky, V.A.2
  • 31
    • 0542397525 scopus 로고    scopus 로고
    • Lorentz-violating extension of the standard model
    • [hep-ph/9809521]
    • D. Colladay and V.A. Kostelecky, Lorentz-violating extension of the standard model, Phys. Rev. D 58 (1998) 116002 [hep-ph/9809521].
    • (1998) Phys. Rev. D , vol.58 , pp. 116002
    • Colladay, D.1    Kostelecky, V.A.2
  • 33
    • 0000860613 scopus 로고
    • Manifest Lorentz invariance sometimes requires nonlinearity
    • W. Siegel, Manifest Lorentz invariance sometimes requires nonlinearity, Nucl. Phys. B 238 (1984) 307;
    • (1984) Nucl. Phys. B , vol.238 , pp. 307
    • Siegel, W.1
  • 35
    • 0001419616 scopus 로고
    • Chiral bosons
    • See for example, J. Sonnenschein, Chiral bosons, Nucl. Phys. B 309 (1988) 752;
    • (1988) Nucl. Phys. B , vol.309 , pp. 752
    • Sonnenschein, J.1
  • 36
    • 24544478523 scopus 로고
    • On the brst quantization of chiral bosons
    • J.M.F. Labastida and M. Pernici, On the brst quantization of chiral bosons, Nucl. Phys. B 297 (1988) 557.
    • (1988) Nucl. Phys. B , vol.297 , pp. 557
    • Labastida, J.M.F.1    Pernici, M.2
  • 37
    • 0007084601 scopus 로고    scopus 로고
    • String theory and noncommutative geometry
    • [hep-th/9908142]
    • N. Seiberg and E. Witten, String theory and noncommutative geometry, J. High Energy Phys. 09 (1999) 032 [hep-th/9908142].
    • (1999) J. High Energy Phys. , vol.9 , pp. 032
    • Seiberg, N.1    Witten, E.2
  • 38
    • 0000103505 scopus 로고    scopus 로고
    • Boundary conditions as dirac constraints
    • [hep-th/9907055]
    • M.M. Sheikh-Jabbari and A. Shirzad, Boundary conditions as dirac constraints, Eur. Phys. J. C 19 (2001) 383 [hep-th/9907055].
    • (2001) Eur. Phys. J. C , vol.19 , pp. 383
    • Sheikh-Jabbari, M.M.1    Shirzad, A.2
  • 39
    • 0038657975 scopus 로고    scopus 로고
    • Bosonization in the noncommutative plane
    • [hep-th/0303022]
    • For a discussion on bosonisation in a non-commutative plane see, S. Ghosh, Bosonization in the noncommutative plane, Phys. Lett. B 563 (2003) 112 [hep-th/0303022].
    • (2003) Phys. Lett. B , vol.563 , pp. 112
    • Ghosh, S.1
  • 41
    • 0000503737 scopus 로고
    • Soliton operators for the quantized sine-gordon equation
    • The formulae (4.1), (4.2) and (4.7) generalize the Mandelstam relations in S. Mandelstam, Soliton operators for the quantized sine-gordon equation, Phys. Rev. D 11 (1975) 3026;
    • (1975) Phys. Rev. D , vol.11 , pp. 3026
    • Mandelstam, S.1
  • 42
    • 0001752702 scopus 로고
    • Quantum sine-gordon equation as the massive thirring model
    • For perturbative considerations see also, S.R. Coleman, Quantum sine-gordon equation as the massive thirring model, Phys. Rev. D 11 (1975) 2088.
    • (1975) Phys. Rev. D , vol.11 , pp. 2088
    • Coleman, S.R.1
  • 44
    • 0035953730 scopus 로고    scopus 로고
    • Quantum mechanics on the noncommutative plane and sphere
    • [hep-th/0011172]
    • V.P. Nair and A.P. Polychronakos, Quantum mechanics on the noncommutative plane and sphere, Phys. Lett. B 505 (2001) 267 [hep-th/0011172].
    • (2001) Phys. Lett. B , vol.505 , pp. 267
    • Nair, V.P.1    Polychronakos, A.P.2
  • 45
    • 0037104544 scopus 로고    scopus 로고
    • Testing spatial noncommutativity via the aharonov-bohm effect
    • [hep-th/0203260]
    • For discussions on noncommutative quantum mechanics in the context of this paper see e.g., H. Falomir, J. Gamboa, M. Loewe, F. Mendez and J.C. Rojas, Testing spatial noncommutativity via the aharonov-bohm effect, Phys. Rev. D 66 (2002) 045018 [hep-th/0203260];
    • (2002) Phys. Rev. D , vol.66 , pp. 045018
    • Falomir, H.1    Gamboa, J.2    Loewe, M.3    Mendez, F.4    Rojas, J.C.5
  • 46
    • 0037199583 scopus 로고    scopus 로고
    • Noncommutative quantum mechanics: The two-dimensional central field
    • [hep-th/0106125]
    • J. Gamboa, M. Loewe, F. Mendez and J.C. Rojas, Noncommutative quantum mechanics: the two-dimensional central field, Int. J. Mod. Phys. A 17 (2002) 2555 [hep-th/0106125];
    • (2002) Int. J. Mod. Phys. A , vol.17 , pp. 2555
    • Gamboa, J.1    Loewe, M.2    Mendez, F.3    Rojas, J.C.4
  • 47
    • 0035923213 scopus 로고    scopus 로고
    • The Landau problem and noncommutative quantum mechanics
    • The Landau problem and noncommutative quantum mechanics, Mod. Phys. Lett. A 16 (2001) 2075;
    • (2001) Mod. Phys. Lett. A , vol.16 , pp. 2075
  • 48
    • 0000161362 scopus 로고    scopus 로고
    • Two phases of the non-commutative quantum mechanics
    • [hep-th/0106138]
    • S. Bellucci, A. Nersessian and C. Sochichiu, Two phases of the non-commutative quantum mechanics, Phys. Lett. B 522 (2001) 345 [hep-th/0106138];
    • (2001) Phys. Lett. B , vol.522 , pp. 345
    • Bellucci, S.1    Nersessian, A.2    Sochichiu, C.3
  • 49
    • 0035976846 scopus 로고    scopus 로고
    • Exotic galilean symmetry in the noncommutative plane, and the Hall effect
    • C. Duval and P.A. Horvathy, Exotic galilean symmetry in the noncommutative plane, and the Hall effect, J. Phys. A 34 (2001) 10097;
    • (2001) J. Phys. A , vol.34 , pp. 10097
    • Duval, C.1    Horvathy, P.A.2
  • 50
    • 33744872133 scopus 로고    scopus 로고
    • Path integral formulation of noncommutative quantum mechanics
    • C. Acatrinei, Path integral formulation of noncommutative quantum mechanics, J. High Energy Phys. 09 (2001) 007.
    • (2001) J. High Energy Phys. , vol.9 , pp. 007
    • Acatrinei, C.1
  • 51
    • 4243966138 scopus 로고    scopus 로고
    • A time varying speed of light as a solution to cosmological puzzles
    • [astro-ph/9811018]
    • A. Albrecht and J. Magueijo, A time varying speed of light as a solution to cosmological puzzles, Phys. Rev. D 59 (1999) 043516 [astro-ph/9811018];
    • (1999) Phys. Rev. D , vol.59 , pp. 043516
    • Albrecht, A.1    Magueijo, J.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.