메뉴 건너뛰기




Volumn 254, Issue 3, 2005, Pages 581-601

Hamiltonian BRST and Batalin-Vilkovisky formalisms for second quantization of gauge theories

Author keywords

[No Author keywords available]

Indexed keywords


EID: 13844255893     PISSN: 00103616     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00220-004-1275-4     Document Type: Article
Times cited : (39)

References (48)
  • 1
    • 0002982777 scopus 로고
    • Perturbation theory for quantized string fields
    • Thorn, C.B.: Perturbation theory for quantized string fields. Nucl. Phys. B287, 61 (1987)
    • (1987) Nucl. Phys. , vol.B287 , pp. 61
    • Thorn, C.B.1
  • 2
    • 0001899138 scopus 로고
    • Gauge fixing for the field theory of the bosonic string
    • Bochicchio, M.: Gauge fixing for the field theory of the bosonic string. Phys. Lett. B193, 31 (1987)
    • (1987) Phys. Lett. , vol.B193 , pp. 31
    • Bochicchio, M.1
  • 3
    • 0000086252 scopus 로고
    • String field theory in the Siegel gauge
    • Bochicchio, M.: String field theory in the Siegel gauge. Phys. Lett. B188, 330 (1987)
    • (1987) Phys. Lett. , vol.B188 , pp. 330
    • Bochicchio, M.1
  • 4
    • 33744505962 scopus 로고
    • String field theory
    • Thorn, C.B.: String field theory. Phys. Rept. 175, 1-101 (1989)
    • (1989) Phys. Rept. , vol.175 , pp. 1-101
    • Thorn, C.B.1
  • 5
    • 0003709804 scopus 로고    scopus 로고
    • Singapore: World Scientific, 1988, and
    • Siegel, W.: Introduction to string field theory. Singapore: World Scientific, 1988, and http://arxiv.org/abs/hep-th/0107094, 2001
    • (2001) Introduction to String Field Theory
    • Siegel, W.1
  • 6
    • 35748929152 scopus 로고
    • Noncommutative geometry and string field theory
    • Witten, E.: Noncommutative geometry and string field theory. Nucl. Phys. B268, 253 (1986)
    • (1986) Nucl. Phys. , vol.B268 , pp. 253
    • Witten, E.1
  • 7
    • 33744741883 scopus 로고
    • Gauge algebra and quantization
    • Batalin, I.A., Vilkovisky, G.A.: Gauge algebra and quantization. Phys. Lett. B102, 27-31 (1981)
    • (1981) Phys. Lett. , vol.B102 , pp. 27-31
    • Batalin, I.A.1    Vilkovisky, G.A.2
  • 8
    • 24844468969 scopus 로고
    • Feynman rules for reducible gauge theories
    • Batalin, I.A., Vilkovisky, G.A.: Feynman rules for reducible gauge theories. Phys. Lett. B120, 166-170 (1983)
    • (1983) Phys. Lett. , vol.B120 , pp. 166-170
    • Batalin, I.A.1    Vilkovisky, G.A.2
  • 9
    • 30244485015 scopus 로고
    • Quantization of gauge theories with linearly dependent generators
    • Batalin, I.A., Vilkovisky, G.A.: Quantization of gauge theories with linearly dependent generators. Phys. Rev. D28, 2567-2582 (1983)
    • (1983) Phys. Rev. , vol.D28 , pp. 2567-2582
    • Batalin, I.A.1    Vilkovisky, G.A.2
  • 10
    • 25044461431 scopus 로고
    • Closure of the gauge algebra, generalized Lie equations and Feynman rules
    • Batalin, I.A., Vilkovisky, G.A.: Closure of the gauge algebra, generalized Lie equations and Feynman rules. Nucl. Phys. B234, 106-124 (1984)
    • (1984) Nucl. Phys. , vol.B234 , pp. 106-124
    • Batalin, I.A.1    Vilkovisky, G.A.2
  • 11
    • 0000211103 scopus 로고
    • Existence theorem for gauge algebra
    • Batalin, I.A., Vilkovisky, G.A.: Existence theorem for gauge algebra. J. Math. Phys. 26, 172-184 (1985)
    • (1985) J. Math. Phys. , vol.26 , pp. 172-184
    • Batalin, I.A.1    Vilkovisky, G.A.2
  • 13
    • 0002723323 scopus 로고
    • Antibracket, antifields and gauge theory quantization
    • Gomis, J., París, J., Samuel, S.: Antibracket, antifields and gauge theory quantization. Phys. Rept. 259, 1-145 (1995)
    • (1995) Phys. Rept. , vol.259 , pp. 1-145
    • Gomis, J.1    París, J.2    Samuel, S.3
  • 14
    • 33750546062 scopus 로고
    • Quantization of relativistic systems with constraints
    • Fradkin, E.S., Vilkovisky, G.A.: Quantization of relativistic systems with constraints. Phys. Lett. B55, 224 (1975)
    • (1975) Phys. Lett. , vol.B55 , pp. 224
    • Fradkin, E.S.1    Vilkovisky, G.A.2
  • 15
    • 0040969973 scopus 로고
    • Relativistic S matrix of dynamical systems with boson and fermion constraints
    • Batalin, I.A., Vilkovisky, G.A.: Relativistic S matrix of dynamical systems with boson and fermion constraints. Phys. Lett. B69, 309-312 (1977)
    • (1977) Phys. Lett. , vol.B69 , pp. 309-312
    • Batalin, I.A.1    Vilkovisky, G.A.2
  • 16
    • 0000063730 scopus 로고
    • Quantization of relativistic systems with boson and fermion first and second class constraints
    • Fradkin, E.S., Fradkina, T.E.: Quantization of relativistic systems with boson and fermion first and second class constraints. Phys. Lett. B72, 343 (1978)
    • (1978) Phys. Lett. , vol.B72 , pp. 343
    • Fradkin, E.S.1    Fradkina, T.E.2
  • 17
    • 0141580279 scopus 로고
    • Hamiltonian form of the path integral for theories with a gauge freedom
    • Henneaux, M.: Hamiltonian form of the path integral for theories with a gauge freedom. Phys. Rept. 126, 1 (1985)
    • (1985) Phys. Rept. , vol.126 , pp. 1
    • Henneaux, M.1
  • 18
    • 0001092198 scopus 로고
    • Geometrization of quantum mechanics
    • Kibble, T.W.B.: Geometrization of quantum mechanics. Commun. Math. Phys. 65, 189 (1979)
    • (1979) Commun. Math. Phys. , vol.65 , pp. 189
    • Kibble, T.W.B.1
  • 19
    • 33846632986 scopus 로고
    • Quantum mechanics as a classical theory
    • Heslot, A.: Quantum mechanics as a classical theory. Phys. Rev. D 31, 1341-1348 (1985)
    • (1985) Phys. Rev. , vol.D 31 , pp. 1341-1348
    • Heslot, A.1
  • 20
    • 0003791684 scopus 로고
    • Quantum field theory of point particles and strings
    • Redwood City, USA: Addison-Wesley
    • Hatfield, B.: Quantum field theory of point particles and strings. Frontiers in physics. Redwood City, USA: Addison-Wesley, 1992. 75
    • (1992) Frontiers in Physics , vol.75
    • Hatfield, B.1
  • 23
    • 13644277000 scopus 로고
    • Closed string field theory: Quantum action and the B-V master equation
    • Zwiebach, B.: Closed string field theory: Quantum action and the B-V master equation. Nucl. Phys. 6390, 33-152 (1993)
    • (1993) Nucl. Phys. , vol.6390 , pp. 33-152
    • Zwiebach, B.1
  • 24
    • 0000087326 scopus 로고
    • Relation between Batalin-Vilkovisky and first quantized style BRST
    • Siegel, W.: Relation between Batalin-Vilkovisky and first quantized style BRST. Int. J. Mod. Phys. A4, 3705 (1989)
    • (1989) Int. J. Mod. Phys. , vol.A4 , pp. 3705
    • Siegel, W.1
  • 25
    • 51249178703 scopus 로고
    • Gauge fixing of point particle and open bosonic string field theory actions of Neveu and West
    • Dayi, O.F.: Gauge fixing of point particle and open bosonic string field theory actions of Neveu and West. Nuovo Cim. A101, 1 (1989)
    • (1989) Nuovo Cim. , vol.A101 , pp. 1
    • Dayi, O.F.1
  • 26
    • 0000287150 scopus 로고
    • A general solution of the BV master equation and BRST field theories
    • Dayi, O.F.: A general solution of the BV master equation and BRST field theories. Mod. Phys. Lett. A8, 2087-2098 (1993)
    • (1993) Mod. Phys. Lett. , vol.A8 , pp. 2087-2098
    • Dayi, O.F.1
  • 28
    • 0001427172 scopus 로고
    • Operatorial quantization of dynamical systems subject to constraints. A further study of the construction
    • Batalin, I., Fradkin, E.: Operatorial quantization of dynamical systems subject to constraints. A further study of the construction. Ann. Inst. Henri Poincaré (Phys. Theor.) 49, 145-214 (1988)
    • (1988) Ann. Inst. Henri Poincaré (Phys. Theor.) , vol.49 , pp. 145-214
    • Batalin, I.1    Fradkin, E.2
  • 29
    • 0005574128 scopus 로고
    • Batalin-Vilkovisky from Hamiltonian BRST
    • Siegel, W.: Batalin-Vilkovisky from Hamiltonian BRST. Int. J. Mod. Phys. A4, 3951 (1989)
    • (1989) Int. J. Mod. Phys. , vol.A4 , pp. 3951
    • Siegel, W.1
  • 30
    • 0006650217 scopus 로고
    • Lagrangian and Hamiltonian BRST formalisms
    • Batlle, C., Gomis, J., París, J., Roca, J.: Lagrangian and Hamiltonian BRST formalisms. Phys. Lett. B224, 288 (1989)
    • (1989) Phys. Lett. , vol.B224 , pp. 288
    • Batlle, C.1    Gomis, J.2    París, J.3    Roca, J.4
  • 31
    • 0002772253 scopus 로고
    • Antibracket - Antifield formalism for constrained Hamiltonian systems
    • Fisch, J.M.L., Henneaux, M.: Antibracket - antifield formalism for constrained Hamiltonian systems. Phys. Lett. B226, 80 (1989)
    • (1989) Phys. Lett. , vol.B226 , pp. 80
    • Fisch, J.M.L.1    Henneaux, M.2
  • 32
    • 0001310036 scopus 로고
    • Elimination of the auxiliary fields in the antifield formalism
    • Henneaux, M.: Elimination of the auxiliary fields in the antifield formalism. Phys. Lett. B238, 299 (1990)
    • (1990) Phys. Lett. , vol.B238 , pp. 299
    • Henneaux, M.1
  • 33
    • 0005629270 scopus 로고
    • Field - Antifield formalism and Hamiltonian BRST approach
    • Batlle, C., Gomis, J., París, J., Roca, J.: Field - antifield formalism and Hamiltonian BRST approach. Nucl. Phys. B329, 139-154 (1990)
    • (1990) Nucl. Phys. , vol.B329 , pp. 139-154
    • Batlle, C.1    Gomis, J.2    París, J.3    Roca, J.4
  • 34
    • 1542714339 scopus 로고
    • Path integral equivalence between the extended and nonextended Hamiltonian formalisms
    • Dresse, A., Grégoire, P., Henneaux, M.: Path integral equivalence between the extended and nonextended Hamiltonian formalisms. Phys. Lett. B245, 192 (1990)
    • (1990) Phys. Lett. , vol.B245 , pp. 192
    • Dresse, A.1    Grégoire, P.2    Henneaux, M.3
  • 35
    • 0002402809 scopus 로고
    • Equivalence of the Hamiltonian and Lagrangian path integrals for gauge theories
    • Dresse, A., Fisch, J.M.L., Grégoire, P., Henneaux, M.: Equivalence of the Hamiltonian and Lagrangian path integrals for gauge theories. Nucl. Phys. B354, 191-217 (1991)
    • (1991) Nucl. Phys. , vol.B354 , pp. 191-217
    • Dresse, A.1    Fisch, J.M.L.2    Grégoire, P.3    Henneaux, M.4
  • 36
    • 0000715544 scopus 로고
    • Equivalence of Lagrangian and Hamiltonian BRST quantization. Systems with first-class constraints
    • Grigorian, G.V., Grigorian, R.P., Tyutin, I.V.: Equivalence of Lagrangian and Hamiltonian BRST quantization. Systems with first-class constraints. Sov. J. Nucl. Phys. 53, 1058-1061 (1991)
    • (1991) Sov. J. Nucl. Phys. , vol.53 , pp. 1058-1061
    • Grigorian, G.V.1    Grigorian, R.P.2    Tyutin, I.V.3
  • 37
    • 0034677426 scopus 로고    scopus 로고
    • Superfield BRST charge and the master action
    • Grigoriev, M.A., Damgaard, P.H.: Superfield BRST charge and the master action. Phys. Lett. B474, 323-330 (2000)
    • (2000) Phys. Lett. , vol.B474 , pp. 323-330
    • Grigoriev, M.A.1    Damgaard, P.H.2
  • 38
    • 0000762976 scopus 로고
    • Boundary conditions in first quantization
    • Siegel, W.: Boundary conditions in first quantization. Int. J. Mod. Phys. A6, 3997-4008 (1991)
    • (1991) Int. J. Mod. Phys. , vol.A6 , pp. 3997-4008
    • Siegel, W.1
  • 39
    • 0030486570 scopus 로고    scopus 로고
    • Isomorphisms between the Batalin-Vilkovisky antibracket and the Poisson bracket
    • Barnich, G., Henneaux, M.: Isomorphisms between the Batalin-Vilkovisky antibracket and the Poisson bracket. J. Math. Phys. 37, 5273-5296 (1996)
    • (1996) J. Math. Phys. , vol.37 , pp. 5273-5296
    • Barnich, G.1    Henneaux, M.2
  • 41
    • 0031576432 scopus 로고    scopus 로고
    • Tensor constructions of open string theories I: Foundations
    • Gaberdiel, M.R., Zwiebach, B.: Tensor constructions of open string theories I: Foundations. Nucl. Phys. B505, 569-624 (1997)
    • (1997) Nucl. Phys. , vol.B505 , pp. 569-624
    • Gaberdiel, M.R.1    Zwiebach, B.2
  • 42
    • 0002557965 scopus 로고
    • A note on gauge transformations in Batalin-Vilkovisky theory
    • Sen, A., Zwiebach, B.: A note on gauge transformations in Batalin-Vilkovisky theory. Phys. Lett. B320, 29-35 (1994)
    • (1994) Phys. Lett. , vol.B320 , pp. 29-35
    • Sen, A.1    Zwiebach, B.2
  • 43
    • 0033239740 scopus 로고    scopus 로고
    • Gauge symmetries of the master action in the Batalin- Vilkovisky formalism
    • Grigoriev, M.A., Semikhatov, A.M., Tipunin, I.Y.: Gauge symmetries of the master action in the Batalin- Vilkovisky formalism. J. Math. Phys. 40. 1792-1806 (1999)
    • (1999) J. Math. Phys. , vol.40 , pp. 1792-1806
    • Grigoriev, M.A.1    Semikhatov, A.M.2    Tipunin, I.Y.3
  • 44
    • 0000782811 scopus 로고    scopus 로고
    • The geometry of the master equation and topological quantum field theory
    • Alexandrov, M., Kontsevich, M., Schwartz, A.: and O. Zaboronsky, The geometry of the master equation and topological quantum field theory. Int. J. Mod. Phys. A12, 1405-1430 (1997)
    • (1997) Int. J. Mod. Phys. , vol.A12 , pp. 1405-1430
    • Alexandrov, M.1    Kontsevich, M.2    Schwartz, A.3    Zaboronsky, O.4
  • 45
    • 0034349089 scopus 로고    scopus 로고
    • A path integral approach to the Kontsevich quantization formula
    • Cattaneo, A.S., Felder, G.: A path integral approach to the Kontsevich quantization formula. Commun. Math. Phys. 212, 591-611 (2000)
    • (2000) Commun. Math. Phys. , vol.212 , pp. 591-611
    • Cattaneo, A.S.1    Felder, G.2
  • 46
    • 0035850055 scopus 로고    scopus 로고
    • Generalized Poisson sigma models
    • Batalin, I., Marnelius, R.: Generalized Poisson sigma models. Phys. Lett. B512, 225-229 (2001)
    • (2001) Phys. Lett. , vol.B512 , pp. 225-229
    • Batalin, I.1    Marnelius, R.2
  • 47
    • 0001692169 scopus 로고    scopus 로고
    • On the AKSZ formulation of the Poisson sigma model
    • Cattaneo, A.S., Felder, G.: On the AKSZ formulation of the Poisson sigma model. Lett. Math. Phys. 56, 163-179 (2001)
    • (2001) Lett. Math. Phys. , vol.56 , pp. 163-179
    • Cattaneo, A.S.1    Felder, G.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.