-
1
-
-
0002138177
-
-
eds. A. Bernstein and B. Holstein Springer
-
S. Weinberg, in Chiral Dynamics: Theory and Experiments eds. A. Bernstein and B. Holstein (Springer, 1995) p. 3; H. Leutwyler, ibid, p. 14
-
(1995)
Chiral Dynamics: Theory and Experiments
, pp. 3
-
-
Weinberg, S.1
-
3
-
-
4243401801
-
-
Y. Nambu, Phys. Rev. Lett. 4, 380 (1960); Y. Nambu and G. Jona-Lasinio, Phys. Rev. 122, 345 (1961)
-
(1960)
Phys. Rev. Lett.
, vol.4
, pp. 380
-
-
Nambu, Y.1
-
5
-
-
51649206572
-
-
J. Goldstone, Nuovo Cimento 19, 154 (1961); J. Goldstone, A. Salam, and S. Weinberg, Phys. Rev. 127, 965 (1962)
-
(1961)
Nuovo Cimento
, vol.19
, pp. 154
-
-
Goldstone, J.1
-
6
-
-
36149026546
-
-
J. Goldstone, Nuovo Cimento 19, 154 (1961); J. Goldstone, A. Salam, and S. Weinberg, Phys. Rev. 127, 965 (1962)
-
(1962)
Phys. Rev.
, vol.127
, pp. 965
-
-
Goldstone, J.1
Salam, A.2
Weinberg, S.3
-
9
-
-
0010851943
-
-
D. A. Kirzhnits and A. D. Linde, Phys. Lett. 42 B, 471 (1972); Ann. Phys. 101, 195 (1976)
-
(1976)
Ann. Phys.
, vol.101
, pp. 195
-
-
-
16
-
-
33744695528
-
Lattice 89
-
For review of recent works, see: A. Ukawa, Lattice 89, Nucl. Phys. B (Proc. Suppl.) 17 (1990) 118; S. Gottlieb, Lattice 90, Nucl. Phys. B (Proc. Suppl.) 20 (1991) 118; F. Karsch, Lattice 93, Nucl. Phys. B (Proc. Suppl.) 34 (1994) 63; K. Kanaya, Lattice 95, Nucl. Phys. B (Proc. Suppl.) 47 (1996) 144
-
(1990)
Nucl. Phys. B (Proc. Suppl.)
, vol.17
, pp. 118
-
-
Ukawa, A.1
-
17
-
-
33744695528
-
Lattice 90
-
For review of recent works, see: A. Ukawa, Lattice 89, Nucl. Phys. B (Proc. Suppl.) 17 (1990) 118; S. Gottlieb, Lattice 90, Nucl. Phys. B (Proc. Suppl.) 20 (1991) 118; F. Karsch, Lattice 93, Nucl. Phys. B (Proc. Suppl.) 34 (1994) 63; K. Kanaya, Lattice 95, Nucl. Phys. B (Proc. Suppl.) 47 (1996) 144
-
(1991)
Nucl. Phys. B (Proc. Suppl.)
, vol.20
, pp. 118
-
-
Gottlieb, S.1
-
18
-
-
43949161397
-
Lattice 93
-
For review of recent works, see: A. Ukawa, Lattice 89, Nucl. Phys. B (Proc. Suppl.) 17 (1990) 118; S. Gottlieb, Lattice 90, Nucl. Phys. B (Proc. Suppl.) 20 (1991) 118; F. Karsch, Lattice 93, Nucl. Phys. B (Proc. Suppl.) 34 (1994) 63; K. Kanaya, Lattice 95, Nucl. Phys. B (Proc. Suppl.) 47 (1996) 144
-
(1994)
Nucl. Phys. B (Proc. Suppl.)
, vol.34
, pp. 63
-
-
Karsch, F.1
-
19
-
-
16144367593
-
Lattice 95
-
For review of recent works, see: A. Ukawa, Lattice 89, Nucl. Phys. B (Proc. Suppl.) 17 (1990) 118; S. Gottlieb, Lattice 90, Nucl. Phys. B (Proc. Suppl.) 20 (1991) 118; F. Karsch, Lattice 93, Nucl. Phys. B (Proc. Suppl.) 34 (1994) 63; K. Kanaya, Lattice 95, Nucl. Phys. B (Proc. Suppl.) 47 (1996) 144
-
(1996)
Nucl. Phys. B (Proc. Suppl.)
, vol.47
, pp. 144
-
-
Kanaya, K.1
-
21
-
-
20144382877
-
-
T. Hatsuda and T. Kunihiro, Phy. Rev. Lett. 55, 158 (1985); Prog. Theor. Phy. 74, 765 (1985)
-
(1985)
Prog. Theor. Phy.
, vol.74
, pp. 765
-
-
-
22
-
-
4143104565
-
-
J. Gasser and H. Leutwyler, Phys. Lett. 184B, 83 (1987); Nucl. Phys. B307, 763 (1988); ibid B321, 387 (1989)
-
(1987)
Phys. Lett.
, vol.184 B
, pp. 83
-
-
Gasser, J.1
Leutwyler, H.2
-
23
-
-
33744771685
-
-
J. Gasser and H. Leutwyler, Phys. Lett. 184B, 83 (1987); Nucl. Phys. B307, 763 (1988); ibid B321, 387 (1989)
-
(1988)
Nucl. Phys.
, vol.B307
, pp. 763
-
-
-
24
-
-
0040966149
-
-
J. Gasser and H. Leutwyler, Phys. Lett. 184B, 83 (1987); Nucl. Phys. B307, 763 (1988); ibid B321, 387 (1989)
-
(1989)
Nucl. Phys.
, vol.B321
, pp. 387
-
-
-
25
-
-
33847327759
-
-
R. Pisarski and F. Wilczek, Phys. Rev. D 29, 338 (1984); F. Wilczek, Int. J. Mod. Phys. A7, 3911 (1992); K. Rajagopal and F. Wilczek, Nucl. Phys. B399, 395 (1993).
-
(1984)
Phys. Rev. D
, vol.29
, pp. 338
-
-
Pisarski, R.1
Wilczek, F.2
-
26
-
-
33847327759
-
-
R. Pisarski and F. Wilczek, Phys. Rev. D 29, 338 (1984); F. Wilczek, Int. J. Mod. Phys. A7, 3911 (1992); K. Rajagopal and F. Wilczek, Nucl. Phys. B399, 395 (1993).
-
(1992)
Int. J. Mod. Phys.
, vol.A7
, pp. 3911
-
-
Wilczek, F.1
-
27
-
-
13544261172
-
-
R. Pisarski and F. Wilczek, Phys. Rev. D 29, 338 (1984); F. Wilczek, Int. J. Mod. Phys. A7, 3911 (1992); K. Rajagopal and F. Wilczek, Nucl. Phys. B399, 395 (1993).
-
(1993)
Nucl. Phys.
, vol.B399
, pp. 395
-
-
Rajagopal, K.1
Wilczek, F.2
-
28
-
-
0000589317
-
-
H. Meyer-Ortmanns, H. -J. Pirner and A. Patkós. Phys. Lett. B295, 255 (1992); D. Metzger, H. Meyer-Ortmanns and H. -J. Pirner, Phys. Lett. B321, 66 (1994); H. Meyer-Ortmanns and B. -J. Schaefer, Phys. Rev. D 53, 6586 (1996)
-
(1992)
Phys. Lett.
, vol.B295
, pp. 255
-
-
Meyer-Ortmanns, H.1
Pirner, H.-J.2
Patkós, A.3
-
29
-
-
0002661098
-
-
H. Meyer-Ortmanns, H. -J. Pirner and A. Patkós. Phys. Lett. B295, 255 (1992); D. Metzger, H. Meyer-Ortmanns and H. -J. Pirner, Phys. Lett. B321, 66 (1994); H. Meyer-Ortmanns and B. -J. Schaefer, Phys. Rev. D 53, 6586 (1996)
-
(1994)
Phys. Lett.
, vol.B321
, pp. 66
-
-
Metzger, D.1
Meyer-Ortmanns, H.2
Pirner, H.-J.3
-
30
-
-
0001479084
-
-
H. Meyer-Ortmanns, H. -J. Pirner and A. Patkós. Phys. Lett. B295, 255 (1992); D. Metzger, H. Meyer-Ortmanns and H. -J. Pirner, Phys. Lett. B321, 66 (1994); H. Meyer-Ortmanns and B. -J. Schaefer, Phys. Rev. D 53, 6586 (1996)
-
(1996)
Phys. Rev. D
, vol.53
, pp. 6586
-
-
Meyer-Ortmanns, H.1
Schaefer, B.-J.2
-
31
-
-
0000128357
-
-
J.D. Bjorken, Int. J. Mod. Phys. A 7 (1987) 4189; J. D. Bjorken, K. Kowalski and C. Taylor, SLAC preprint, SLAC-PUB-6109 (1993)
-
(1987)
Int. J. Mod. Phys. A
, vol.7
, pp. 4189
-
-
Bjorken, J.D.1
-
32
-
-
85033883482
-
-
SLAC preprint, SLAC-PUB-6109
-
J.D. Bjorken, Int. J. Mod. Phys. A 7 (1987) 4189; J. D. Bjorken, K. Kowalski and C. Taylor, SLAC preprint, SLAC-PUB-6109 (1993)
-
(1993)
-
-
Bjorken, J.D.1
Kowalski, K.2
Taylor, C.3
-
33
-
-
4744352660
-
-
K. Rajagopal and F. Wilczek, Nucl. Phys. B404 (1993) 577; S. Gavin, A. Gocksch, and R.D. Pisarski, Phys. Rev. Lett. 72 2143 (1994); S. Gavin, and B. Müller, Phys. Lett. B329, 486 (1994); M. Asakawa, Z. Huang, X. -N. Wang, Phys. Rev. Lett. 74, 3126 (1995); J. Randrup, Phys. Rev. Lett. 77, 1226 (1996)
-
(1993)
Nucl. Phys.
, vol.B404
, pp. 577
-
-
Rajagopal, K.1
Wilczek, F.2
-
34
-
-
4043120050
-
-
K. Rajagopal and F. Wilczek, Nucl. Phys. B404 (1993) 577; S. Gavin, A. Gocksch, and R.D. Pisarski, Phys. Rev. Lett. 72 2143 (1994); S. Gavin, and B. Müller, Phys. Lett. B329, 486 (1994); M. Asakawa, Z. Huang, X. -N. Wang, Phys. Rev. Lett. 74, 3126 (1995); J. Randrup, Phys. Rev. Lett. 77, 1226 (1996)
-
(1994)
Phys. Rev. Lett.
, vol.72
, pp. 2143
-
-
Gavin, S.1
Gocksch, A.2
Pisarski, R.D.3
-
35
-
-
0001398605
-
-
K. Rajagopal and F. Wilczek, Nucl. Phys. B404 (1993) 577; S. Gavin, A. Gocksch, and R.D. Pisarski, Phys. Rev. Lett. 72 2143 (1994); S. Gavin, and B. Müller, Phys. Lett. B329, 486 (1994); M. Asakawa, Z. Huang, X. -N. Wang, Phys. Rev. Lett. 74, 3126 (1995); J. Randrup, Phys. Rev. Lett. 77, 1226 (1996)
-
(1994)
Phys. Lett.
, vol.B329
, pp. 486
-
-
Gavin, S.1
Müller, B.2
-
36
-
-
0000163189
-
-
K. Rajagopal and F. Wilczek, Nucl. Phys. B404 (1993) 577; S. Gavin, A. Gocksch, and R.D. Pisarski, Phys. Rev. Lett. 72 2143 (1994); S. Gavin, and B. Müller, Phys. Lett. B329, 486 (1994); M. Asakawa, Z. Huang, X. -N. Wang, Phys. Rev. Lett. 74, 3126 (1995); J. Randrup, Phys. Rev. Lett. 77, 1226 (1996)
-
(1995)
Phys. Rev. Lett.
, vol.74
, pp. 3126
-
-
Asakawa, M.1
Huang, Z.2
Wang, X.-N.3
-
37
-
-
4243463519
-
-
K. Rajagopal and F. Wilczek, Nucl. Phys. B404 (1993) 577; S. Gavin, A. Gocksch, and R.D. Pisarski, Phys. Rev. Lett. 72 2143 (1994); S. Gavin, and B. Müller, Phys. Lett. B329, 486 (1994); M. Asakawa, Z. Huang, X. -N. Wang, Phys. Rev. Lett. 74, 3126 (1995); J. Randrup, Phys. Rev. Lett. 77, 1226 (1996)
-
(1996)
Phys. Rev. Lett.
, vol.77
, pp. 1226
-
-
Randrup, J.1
-
39
-
-
35949006065
-
-
F. Cooper, Y. Kluger, E. Mottola, and J. P. Paz; Phys. Rev. D 51, 2377 (1995)
-
(1995)
Phys. Rev. D
, vol.51
, pp. 2377
-
-
Cooper, F.1
Kluger, Y.2
Mottola, E.3
Paz, J.P.4
-
41
-
-
0004266978
-
-
eds. J. W. Negele and E. Vogt, Plenum Press, New York
-
B. D. Serot, and J. D. Walecka, Advances in Nuclear Physics 16, eds. J. W. Negele and E. Vogt, Plenum Press, New York (1986)
-
(1986)
Advances in Nuclear Physics
, vol.16
-
-
Serot, B.D.1
Walecka, J.D.2
-
44
-
-
85033900061
-
-
note
-
For a systematic exposition of this approach see Ref. [9]
-
-
-
-
45
-
-
4243563667
-
-
It requires the Keldysh-Schwinger formalism. For a recent discussion on the subject see, for example, F. Cooper, et al. Phys. Rev. D 50, 2848 (1994)
-
(1994)
Phys. Rev. D
, vol.50
, pp. 2848
-
-
Cooper, F.1
-
48
-
-
0001079075
-
-
The Gaussian approximation was introduce earlier for the time-evolution of the wavefunctional in pure state (zero temperature) by R. Jackiw and A. Kerman, Phys. Lett. 71A, 158 (1979): see also, A. Kerman and D. Vautherin, Ann. Phys. 192, 408 (1989)
-
(1979)
Phys. Lett.
, vol.71 A
, pp. 158
-
-
Jackiw, R.1
Kerman, A.2
-
49
-
-
0039910589
-
-
The Gaussian approximation was introduce earlier for the time-evolution of the wavefunctional in pure state (zero temperature) by R. Jackiw and A. Kerman, Phys. Lett. 71A, 158 (1979): see also, A. Kerman and D. Vautherin, Ann. Phys. 192, 408 (1989)
-
(1989)
Ann. Phys.
, vol.192
, pp. 408
-
-
Kerman, A.1
Vautherin, D.2
-
52
-
-
0030687263
-
-
H. W. L. Naus, T. Gasenzer, and H.-J. Pirner, Ann. Physik 6, 287 (1997); see also, V. Dmitrǎsinović, J. R. Shepard, J.A. McNeil, Z. Phys. C69, 359 (1996); A. Okopińska, Phys. Lett. B375, 213 (1996)
-
(1997)
Ann. Physik
, vol.6
, pp. 287
-
-
Naus, H.W.L.1
Gasenzer, T.2
Pirner, H.-J.3
-
53
-
-
0000216761
-
-
H. W. L. Naus, T. Gasenzer, and H.-J. Pirner, Ann. Physik 6, 287 (1997); see also, V. Dmitrǎsinović, J. R. Shepard, J.A. McNeil, Z. Phys. C69, 359 (1996); A. Okopińska, Phys. Lett. B375, 213 (1996)
-
(1996)
Z. Phys.
, vol.C69
, pp. 359
-
-
Dmitrǎsinović, V.1
Shepard, J.R.2
McNeil, J.A.3
-
54
-
-
0001660516
-
-
H. W. L. Naus, T. Gasenzer, and H.-J. Pirner, Ann. Physik 6, 287 (1997); see also, V. Dmitrǎsinović, J. R. Shepard, J.A. McNeil, Z. Phys. C69, 359 (1996); A. Okopińska, Phys. Lett. B375, 213 (1996)
-
(1996)
Phys. Lett.
, vol.B375
, pp. 213
-
-
Okopińska, A.1
-
55
-
-
85033888589
-
-
note
-
They coincide with the leading approximation in the 1/N expansion only in the symmetric phase. For more discussion, see [9]
-
-
-
-
56
-
-
0000555264
-
-
S. Coleman, R. Jackiw, and H. D. Politzer, Phys. Rev. D 10, 2491 (1974); M. Kobayashi, and T. Kugo, Prog. Theor. Phys. 54, 1537 (1975); L. Abbott, J. S. Kang, and H. J. Schnitzer, Phys. Rev. D 13, 2212 (1976)
-
(1974)
Phys. Rev. D
, vol.10
, pp. 2491
-
-
Coleman, S.1
Jackiw, R.2
Politzer, H.D.3
-
57
-
-
0000555264
-
-
S. Coleman, R. Jackiw, and H. D. Politzer, Phys. Rev. D 10, 2491 (1974); M. Kobayashi, and T. Kugo, Prog. Theor. Phys. 54, 1537 (1975); L. Abbott, J. S. Kang, and H. J. Schnitzer, Phys. Rev. D 13, 2212 (1976)
-
(1975)
Prog. Theor. Phys.
, vol.54
, pp. 1537
-
-
Kobayashi, M.1
Kugo, T.2
-
58
-
-
33744584453
-
-
S. Coleman, R. Jackiw, and H. D. Politzer, Phys. Rev. D 10, 2491 (1974); M. Kobayashi, and T. Kugo, Prog. Theor. Phys. 54, 1537 (1975); L. Abbott, J. S. Kang, and H. J. Schnitzer, Phys. Rev. D 13, 2212 (1976)
-
(1976)
Phys. Rev. D
, vol.13
, pp. 2212
-
-
Abbott, L.1
Kang, J.S.2
Schnitzer, H.J.3
-
60
-
-
85033890596
-
-
note
-
4 model may be considred as an effective theory with finite physical cut-off. See Refs. [35,20,31] for some discussion on this problem
-
-
-
-
61
-
-
85033902397
-
-
note
-
See again the previous note [36]
-
-
-
-
65
-
-
85033887304
-
-
note
-
4He)
-
-
-
-
67
-
-
85033897761
-
-
note
-
appendix C
-
-
-
-
69
-
-
0000817513
-
-
4 model has been investigated by Vautherin and one of the present authors in terms of the Gaussian variational wavefunctional: D. Vautherin and T. Matsui, to appear in Phys. Rev. D 55, 4492 (1997)
-
(1997)
Phys. Rev. D
, vol.55
, pp. 4492
-
-
Vautherin, D.1
Matsui, T.2
|