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THE EXACT MASS GAP OF THE O(3) AND O(4) NONLINEAR SIGMA-MODELS IN D=2
被引:209
作者
:
HASENFRATZ, P
论文数:
0
引用数:
0
h-index:
0
机构:
Institute for Theoretical Physics, University of Bern, CH-3012 Bern
HASENFRATZ, P
MAGGIORE, M
论文数:
0
引用数:
0
h-index:
0
机构:
Institute for Theoretical Physics, University of Bern, CH-3012 Bern
MAGGIORE, M
NIEDERMAYER, F
论文数:
0
引用数:
0
h-index:
0
机构:
Institute for Theoretical Physics, University of Bern, CH-3012 Bern
NIEDERMAYER, F
机构
:
[1]
Institute for Theoretical Physics, University of Bern, CH-3012 Bern
来源
:
PHYSICS LETTERS B
|
1990年
/ 245卷
/ 3-4期
关键词
:
D O I
:
10.1016/0370-2693(90)90685-Y
中图分类号
:
P1 [天文学];
学科分类号
:
0704 ;
摘要
:
By comparing the Bethe Ansatz solution with perturbation theory we obtain the exact results m = 8 e ΛMS and m = ( 32 πe) 1 2 ΛMS for the O(3) and O(4) non-linear σ-models, respectively. Here ΛMS is the renormalization group invariant scale in the MS scheme. © 1990.
引用
收藏
页码:522 / 528
页数:7
相关论文
共 57 条
[1]
VOLUME DEPENDENCE OF THE MASS GAP FOR THE O(3) NONLINEAR SIGMA-MODEL - A MONTE-CARLO STUDY
BENDER, I
论文数:
0
引用数:
0
h-index:
0
机构:
UNIV HAMBURG,INST THEORET PHYS 2,D-2000 HAMBURG 52,FED REP GER
BENDER, I
WETZEL, W
论文数:
0
引用数:
0
h-index:
0
机构:
UNIV HAMBURG,INST THEORET PHYS 2,D-2000 HAMBURG 52,FED REP GER
WETZEL, W
BERG, B
论文数:
0
引用数:
0
h-index:
0
机构:
UNIV HAMBURG,INST THEORET PHYS 2,D-2000 HAMBURG 52,FED REP GER
BERG, B
[J].
NUCLEAR PHYSICS B,
1986,
269
(02)
: 389
-
409
[2]
IMPROVED CONTINUUM-LIMIT IN THE LATTICE O(3) NON-LINEAR SIGMA-MODEL
BERG, B
论文数:
0
引用数:
0
h-index:
0
机构:
UNIV KAISERSLAUTERN,FACHBEREICH PHYS,D-6750 KAISERSLAUTERN,FED REP GER
BERG, B
MEYER, S
论文数:
0
引用数:
0
h-index:
0
机构:
UNIV KAISERSLAUTERN,FACHBEREICH PHYS,D-6750 KAISERSLAUTERN,FED REP GER
MEYER, S
MONTVAY, I
论文数:
0
引用数:
0
h-index:
0
机构:
UNIV KAISERSLAUTERN,FACHBEREICH PHYS,D-6750 KAISERSLAUTERN,FED REP GER
MONTVAY, I
SYMANZIK, K
论文数:
0
引用数:
0
h-index:
0
机构:
UNIV KAISERSLAUTERN,FACHBEREICH PHYS,D-6750 KAISERSLAUTERN,FED REP GER
SYMANZIK, K
[J].
PHYSICS LETTERS B,
1983,
126
(06)
: 467
-
470
[3]
MONTE-CARLO SIMULATIONS WITH SYMANZIK IMPROVED ACTIONS IN THE LATTICE O(3) NON-LINEAR SIGMA-MODEL
BERG, B
论文数:
0
引用数:
0
h-index:
0
机构:
UNIV KAISERSLAUTERN,FACHBEREICH PHYS,D-6750 KAISERSLAUTERN,FED REP GER
UNIV KAISERSLAUTERN,FACHBEREICH PHYS,D-6750 KAISERSLAUTERN,FED REP GER
BERG, B
MEYER, S
论文数:
0
引用数:
0
h-index:
0
机构:
UNIV KAISERSLAUTERN,FACHBEREICH PHYS,D-6750 KAISERSLAUTERN,FED REP GER
UNIV KAISERSLAUTERN,FACHBEREICH PHYS,D-6750 KAISERSLAUTERN,FED REP GER
MEYER, S
MONTVAY, I
论文数:
0
引用数:
0
h-index:
0
机构:
UNIV KAISERSLAUTERN,FACHBEREICH PHYS,D-6750 KAISERSLAUTERN,FED REP GER
UNIV KAISERSLAUTERN,FACHBEREICH PHYS,D-6750 KAISERSLAUTERN,FED REP GER
MONTVAY, I
[J].
NUCLEAR PHYSICS B,
1984,
235
(02)
: 149
-
171
[4]
AN INVESTIGATION OF THE PHASE-STRUCTURE OF THE TWO-DIMENSIONAL O(2) AND O(4) SYMMETRIC NONLINEAR SIGMA-MODELS
BERNREUTHER, W
论文数:
0
引用数:
0
h-index:
0
机构:
UNIV HEIDELBERG,INST THEORET PHYS,D-6900 HEIDELBERG,FED REP GER
UNIV HEIDELBERG,INST THEORET PHYS,D-6900 HEIDELBERG,FED REP GER
BERNREUTHER, W
GOCKELER, M
论文数:
0
引用数:
0
h-index:
0
机构:
UNIV HEIDELBERG,INST THEORET PHYS,D-6900 HEIDELBERG,FED REP GER
UNIV HEIDELBERG,INST THEORET PHYS,D-6900 HEIDELBERG,FED REP GER
GOCKELER, M
[J].
PHYSICS LETTERS B,
1988,
214
(01)
: 109
-
114
[5]
RENORMALIZATION-GROUP STUDY OF XY AND HEISENBERG MODELS IN 2 DIMENSIONS
BIFERALE, L
论文数:
0
引用数:
0
h-index:
0
机构:
IST NAZL FIS NUCL, ROME, ITALY
IST NAZL FIS NUCL, ROME, ITALY
BIFERALE, L
PETRONZIO, R
论文数:
0
引用数:
0
h-index:
0
机构:
IST NAZL FIS NUCL, ROME, ITALY
IST NAZL FIS NUCL, ROME, ITALY
PETRONZIO, R
[J].
NUCLEAR PHYSICS B,
1989,
328
(03)
: 677
-
700
[6]
BISCARI P, 1990, IFUPTH790 PIS PREPR
[7]
RENORMALIZATION OF NONLINEAR SIGMA-MODEL IN 2+ EPSILON-DIMENSIONS-APPLICATION TO HEISENBERG FERROMAGNETS
BREZIN, E
论文数:
0
引用数:
0
h-index:
0
机构:
CEN SACLAY, SERV PHYS THEORIQUE, 91190 GIF-SUR-YVETTE, FRANCE
CEN SACLAY, SERV PHYS THEORIQUE, 91190 GIF-SUR-YVETTE, FRANCE
BREZIN, E
ZINJUSTIN, J
论文数:
0
引用数:
0
h-index:
0
机构:
CEN SACLAY, SERV PHYS THEORIQUE, 91190 GIF-SUR-YVETTE, FRANCE
CEN SACLAY, SERV PHYS THEORIQUE, 91190 GIF-SUR-YVETTE, FRANCE
ZINJUSTIN, J
[J].
PHYSICAL REVIEW LETTERS,
1976,
36
(13)
: 691
-
694
[8]
SPONTANEOUS BREAKDOWN OF CONTINUOUS SYMMETRIES NEAR 2 DIMENSIONS
BREZIN, E
论文数:
0
引用数:
0
h-index:
0
机构:
CENS, SERV PHYS THEORIQUE, F-91190 GIF SUR YVETTE, FRANCE
CENS, SERV PHYS THEORIQUE, F-91190 GIF SUR YVETTE, FRANCE
BREZIN, E
ZINNJUSTIN, J
论文数:
0
引用数:
0
h-index:
0
机构:
CENS, SERV PHYS THEORIQUE, F-91190 GIF SUR YVETTE, FRANCE
CENS, SERV PHYS THEORIQUE, F-91190 GIF SUR YVETTE, FRANCE
ZINNJUSTIN, J
[J].
PHYSICAL REVIEW B,
1976,
14
(07)
: 3110
-
3120
[9]
BUTERA P, 1989, IFUM375FT MIL PREPR
[10]
O(N) NON-LINEAR SIGMA-MODEL WITH IMPROVED ACTION - A STRONG COUPLING ANALYSIS
CLARIZIA, A
论文数:
0
引用数:
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h-index:
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机构:
INFN,NAPLES,ITALY
INFN,NAPLES,ITALY
CLARIZIA, A
CRISTOFANO, G
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0
h-index:
0
机构:
INFN,NAPLES,ITALY
INFN,NAPLES,ITALY
CRISTOFANO, G
MUSTO, R
论文数:
0
引用数:
0
h-index:
0
机构:
INFN,NAPLES,ITALY
INFN,NAPLES,ITALY
MUSTO, R
NICODEMI, F
论文数:
0
引用数:
0
h-index:
0
机构:
INFN,NAPLES,ITALY
INFN,NAPLES,ITALY
NICODEMI, F
PETTORINO, R
论文数:
0
引用数:
0
h-index:
0
机构:
INFN,NAPLES,ITALY
INFN,NAPLES,ITALY
PETTORINO, R
[J].
PHYSICS LETTERS B,
1984,
148
(4-5)
: 323
-
330
←
1
2
3
4
5
6
→
共 57 条
[1]
VOLUME DEPENDENCE OF THE MASS GAP FOR THE O(3) NONLINEAR SIGMA-MODEL - A MONTE-CARLO STUDY
BENDER, I
论文数:
0
引用数:
0
h-index:
0
机构:
UNIV HAMBURG,INST THEORET PHYS 2,D-2000 HAMBURG 52,FED REP GER
BENDER, I
WETZEL, W
论文数:
0
引用数:
0
h-index:
0
机构:
UNIV HAMBURG,INST THEORET PHYS 2,D-2000 HAMBURG 52,FED REP GER
WETZEL, W
BERG, B
论文数:
0
引用数:
0
h-index:
0
机构:
UNIV HAMBURG,INST THEORET PHYS 2,D-2000 HAMBURG 52,FED REP GER
BERG, B
[J].
NUCLEAR PHYSICS B,
1986,
269
(02)
: 389
-
409
[2]
IMPROVED CONTINUUM-LIMIT IN THE LATTICE O(3) NON-LINEAR SIGMA-MODEL
BERG, B
论文数:
0
引用数:
0
h-index:
0
机构:
UNIV KAISERSLAUTERN,FACHBEREICH PHYS,D-6750 KAISERSLAUTERN,FED REP GER
BERG, B
MEYER, S
论文数:
0
引用数:
0
h-index:
0
机构:
UNIV KAISERSLAUTERN,FACHBEREICH PHYS,D-6750 KAISERSLAUTERN,FED REP GER
MEYER, S
MONTVAY, I
论文数:
0
引用数:
0
h-index:
0
机构:
UNIV KAISERSLAUTERN,FACHBEREICH PHYS,D-6750 KAISERSLAUTERN,FED REP GER
MONTVAY, I
SYMANZIK, K
论文数:
0
引用数:
0
h-index:
0
机构:
UNIV KAISERSLAUTERN,FACHBEREICH PHYS,D-6750 KAISERSLAUTERN,FED REP GER
SYMANZIK, K
[J].
PHYSICS LETTERS B,
1983,
126
(06)
: 467
-
470
[3]
MONTE-CARLO SIMULATIONS WITH SYMANZIK IMPROVED ACTIONS IN THE LATTICE O(3) NON-LINEAR SIGMA-MODEL
BERG, B
论文数:
0
引用数:
0
h-index:
0
机构:
UNIV KAISERSLAUTERN,FACHBEREICH PHYS,D-6750 KAISERSLAUTERN,FED REP GER
UNIV KAISERSLAUTERN,FACHBEREICH PHYS,D-6750 KAISERSLAUTERN,FED REP GER
BERG, B
MEYER, S
论文数:
0
引用数:
0
h-index:
0
机构:
UNIV KAISERSLAUTERN,FACHBEREICH PHYS,D-6750 KAISERSLAUTERN,FED REP GER
UNIV KAISERSLAUTERN,FACHBEREICH PHYS,D-6750 KAISERSLAUTERN,FED REP GER
MEYER, S
MONTVAY, I
论文数:
0
引用数:
0
h-index:
0
机构:
UNIV KAISERSLAUTERN,FACHBEREICH PHYS,D-6750 KAISERSLAUTERN,FED REP GER
UNIV KAISERSLAUTERN,FACHBEREICH PHYS,D-6750 KAISERSLAUTERN,FED REP GER
MONTVAY, I
[J].
NUCLEAR PHYSICS B,
1984,
235
(02)
: 149
-
171
[4]
AN INVESTIGATION OF THE PHASE-STRUCTURE OF THE TWO-DIMENSIONAL O(2) AND O(4) SYMMETRIC NONLINEAR SIGMA-MODELS
BERNREUTHER, W
论文数:
0
引用数:
0
h-index:
0
机构:
UNIV HEIDELBERG,INST THEORET PHYS,D-6900 HEIDELBERG,FED REP GER
UNIV HEIDELBERG,INST THEORET PHYS,D-6900 HEIDELBERG,FED REP GER
BERNREUTHER, W
GOCKELER, M
论文数:
0
引用数:
0
h-index:
0
机构:
UNIV HEIDELBERG,INST THEORET PHYS,D-6900 HEIDELBERG,FED REP GER
UNIV HEIDELBERG,INST THEORET PHYS,D-6900 HEIDELBERG,FED REP GER
GOCKELER, M
[J].
PHYSICS LETTERS B,
1988,
214
(01)
: 109
-
114
[5]
RENORMALIZATION-GROUP STUDY OF XY AND HEISENBERG MODELS IN 2 DIMENSIONS
BIFERALE, L
论文数:
0
引用数:
0
h-index:
0
机构:
IST NAZL FIS NUCL, ROME, ITALY
IST NAZL FIS NUCL, ROME, ITALY
BIFERALE, L
PETRONZIO, R
论文数:
0
引用数:
0
h-index:
0
机构:
IST NAZL FIS NUCL, ROME, ITALY
IST NAZL FIS NUCL, ROME, ITALY
PETRONZIO, R
[J].
NUCLEAR PHYSICS B,
1989,
328
(03)
: 677
-
700
[6]
BISCARI P, 1990, IFUPTH790 PIS PREPR
[7]
RENORMALIZATION OF NONLINEAR SIGMA-MODEL IN 2+ EPSILON-DIMENSIONS-APPLICATION TO HEISENBERG FERROMAGNETS
BREZIN, E
论文数:
0
引用数:
0
h-index:
0
机构:
CEN SACLAY, SERV PHYS THEORIQUE, 91190 GIF-SUR-YVETTE, FRANCE
CEN SACLAY, SERV PHYS THEORIQUE, 91190 GIF-SUR-YVETTE, FRANCE
BREZIN, E
ZINJUSTIN, J
论文数:
0
引用数:
0
h-index:
0
机构:
CEN SACLAY, SERV PHYS THEORIQUE, 91190 GIF-SUR-YVETTE, FRANCE
CEN SACLAY, SERV PHYS THEORIQUE, 91190 GIF-SUR-YVETTE, FRANCE
ZINJUSTIN, J
[J].
PHYSICAL REVIEW LETTERS,
1976,
36
(13)
: 691
-
694
[8]
SPONTANEOUS BREAKDOWN OF CONTINUOUS SYMMETRIES NEAR 2 DIMENSIONS
BREZIN, E
论文数:
0
引用数:
0
h-index:
0
机构:
CENS, SERV PHYS THEORIQUE, F-91190 GIF SUR YVETTE, FRANCE
CENS, SERV PHYS THEORIQUE, F-91190 GIF SUR YVETTE, FRANCE
BREZIN, E
ZINNJUSTIN, J
论文数:
0
引用数:
0
h-index:
0
机构:
CENS, SERV PHYS THEORIQUE, F-91190 GIF SUR YVETTE, FRANCE
CENS, SERV PHYS THEORIQUE, F-91190 GIF SUR YVETTE, FRANCE
ZINNJUSTIN, J
[J].
PHYSICAL REVIEW B,
1976,
14
(07)
: 3110
-
3120
[9]
BUTERA P, 1989, IFUM375FT MIL PREPR
[10]
O(N) NON-LINEAR SIGMA-MODEL WITH IMPROVED ACTION - A STRONG COUPLING ANALYSIS
CLARIZIA, A
论文数:
0
引用数:
0
h-index:
0
机构:
INFN,NAPLES,ITALY
INFN,NAPLES,ITALY
CLARIZIA, A
CRISTOFANO, G
论文数:
0
引用数:
0
h-index:
0
机构:
INFN,NAPLES,ITALY
INFN,NAPLES,ITALY
CRISTOFANO, G
MUSTO, R
论文数:
0
引用数:
0
h-index:
0
机构:
INFN,NAPLES,ITALY
INFN,NAPLES,ITALY
MUSTO, R
NICODEMI, F
论文数:
0
引用数:
0
h-index:
0
机构:
INFN,NAPLES,ITALY
INFN,NAPLES,ITALY
NICODEMI, F
PETTORINO, R
论文数:
0
引用数:
0
h-index:
0
机构:
INFN,NAPLES,ITALY
INFN,NAPLES,ITALY
PETTORINO, R
[J].
PHYSICS LETTERS B,
1984,
148
(4-5)
: 323
-
330
←
1
2
3
4
5
6
→