Abstract
We show that theU(1) axial anomaly does not change if we take into account the temperature in the usual triangle diagram with two vector and one pseudovector couplings. We also calculate the modifications induced by the temperature on the decay width for the πO decaying into two photons. It turns out that the decay width increases with the temperature in such a way that the dominant contribution comes from the thermal phase space.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
See, for example, N.P. Landsman, Ch.G. van Weert: Phys. Rep. 145 (1987) 143 and references therein; J.F. Donoghue, B.R. Holstein, R.W. Robinett: Ann. Phys. 164 (1985) 233; D.J. Gross, R.D. Pisarski, L.G. Yaffe: Rev. Mod. Phys. 53 (1981) 43
A.D. Linde: Rep. Prog. Phys. 42 (1979) 389; A.D. Linde: Rep. Prog. Phys. 47 (1984) 925; R.H. Brandenberger: Rev. Mod. Phys. 57 (1985) 1
M. Jacob, H. Satz: Quark matter formation and heavy ion collision. Singapore: World Scientific 1982; L. Mc.Lerran: Rev. Mod. Phys. 58 (1986) 1021
See, for example, J. Cleymans, R.V. Gavai, E. Suhonen: Phys. Rep. 130 (1986) 217 and references therein; D. Balin, J. Cleymans, M.D. Scadron: Phys. Rev. D31 (1985) 164; J. Polyni et al.: Phys. Rev. Lett. 53 (1984) 644
A. Bamberger et al.: NA 35 Collab. Phys. Lett. B 184 (1987) 271; J. Rafelski: Phys. Lett. B190 (1987) 167
Y. Fujimoto, S. Sakaribara: Phys. Lett.B 84 (1985) 260; M.G. do Amaral, C. Aragao de Carvalho, M.E. Pol, R.C. Shellard: Z. Phys. C—Particles and Fields 32 (1986) 609; Y. Fujimoto, A. Wipf, H. Yoneyama: Z. Phys. C—Particles and Fields 35 (1987) 351
J.S. Bell, R. Jackiw: Nuovo Cimento 60A (1969) 47; S.L. Adler: Phys. Rev. 177 (1969) 2466
S.L. Adler, A. Bardeen: Phys. Rev. 182 (1969) 1517
K.G. Wilson: Phys. Rev. 179 (1969) 1499; R. Jackiw, K. Johnson: Phys. Rev. 182 (1969) 1459
H. Umezawa, H. Matsumoto, M. Tachiki: Thermo field dynamic and condensed states. Amsterdam: North Holland 1982; I. Ojima: Ann. Phys. (N.Y.) 137 (1981) 1; H. Matsumoto, I. Ojima, H. Umezawa: Ann. Phys. 152 (1984) 348; A.J. Niemi, G.W. Semenoff: Ann. Phys. 152 (1984) 105; R.L. Kobes, G.W. Semenoff, N. Weiss: Z. Phys. C—Particles and Fields 29 (1985) 371
A.J. Niemi, G.W. Semenoff: Nucl. Phys. B 230 (1984) 181; G.W. Semenoff, H. Umezawa: Nucl. Phys. B220 (F.58) (1983) 196; H. Matsumoto et al.: Prog. Theor. Phys. 70 (1983) 599; See also [10]
L. Dolan, R. Jackiw: Phys. Rev. D 9 (1974) 3312
See, for example, S. Treiman, R. Jackiw, B. Zumino, E. Witten: Current algebra and anomalies. Singapore: World Scientific 1985
H. Matsumoto, Y. Nakano, H. Umezawa: Phys. Rev. D 29 (1984) 1116; K. Funakubo, M. Sakamoto: Phys. Lett. B186 (1987) 205; H. Yamada: Pre-print, INS-REP-636. Tokyo (1987); O.J.P. Eboli, G.C. Marquez: Phys. Lett. B162 (1985) 189
T. Matsubara: Prog. Theor. Phys. 14 (1955) 351
F. Ruiz-Ruiz, R. Alvares-Estrada: Z. Phys. C—Particles and Fields 34 (1987) 131
J. Steinberger: Phys. Rev. 76 (1949) 1180
J.D. Bjorken, S.D. Drell: Relativistic quantum mechanics and relativistic quantum fields. New York: McGraw-Hill 1964–1965
A. Das, A. Karev: Phys. Rev. D 36 (1987) 623
W. Dittrich, M. Reuter: Phys. Rev. D 32 (1985) 513
S. Chaturvedi, Neelima Gupte, V. Srinivasan: J. Phys. A 18 (1985) L963
Zhao-Won-Yun: Preprint Beijing 1984
Author information
Authors and Affiliations
Additional information
Work supported by FONDECYT under grant 677-87, DIUC under grants 046-87, 048-87 and UNESCO under grant 6266
Rights and permissions
About this article
Cite this article
Contreras, C., Loewe, M. The triangle diagram at finite temperature. Z. Phys. C - Particles and Fields 40, 253–258 (1988). https://doi.org/10.1007/BF01555887
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01555887