High temperature <span class="aps-inline-formula"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi mathvariant="normal">ln</mi><mn></mn><mo>(</mo><mi>T</mi><mo>)</mo><mn></mn></math></span> contributions in thermal field theory

F. T. Brandt; J. Frenkel

doi:10.1103/PhysRevD.55.7808

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High temperature $\ln (T)$ contributions in thermal field theory

F. T. Brandt and J. Frenkel

Instituto de Física, Universidade de São Paulo, São Paulo, 05389-970 São Paulo, Brazil

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Phys. Rev. D 55, 7808 – Published 15 June, 1997

DOI: https://doi.org/10.1103/PhysRevD.55.7808

Abstract

We calculate, to one-loop order, the $\ln (T)$ contributions of three-point functions in the $φ^{3}$ and Yang-Mills theory at high temperature. We find that these terms are Lorentz invariant and have the same structure as the ultraviolet divergent contributions which occur at zero temperature. A simple argument, valid for all $N$ -point Green functions, is given for this behavior.

References (25)

A. H. Weldon, Phys. Rev. D 26, 1394 (1982).
K. Kajantie and J. Kapusta, Ann. Phys. (N.Y.) 160, 477 (1985).
R. D. Pisarski, Nucl. Phys. B309, 476 (1988).
E. Braaten and R. D. Pisarski, Phys. Rev. D 45, 1827 (1992).
J. Frenkel and J. C. Taylor, Nucl. Phys. B334, 199 (1990); B374, 156 (1992).
E. Braaten and R. D. Pisarski, Nucl. Phys. B337, 569 (1990); B339, 310 (1990).
J. Kapusta, Finite Temperature Field Theory (Cambridge University Press, Cambridge, England, 1989).
F. T. Brandt, J. Frenkel, and J. C. Taylor, Phys. Rev. D 44, 1801 (1991).
H. Nakkagawa and A. Niegawa, Phys. Lett. B 193, 263 (1987).
Y. Fujimoto and H. Yamada, Phys. Lett. B 200, 167 (1988).
R. Baier, B. Pire, and D. Schiff, Z. Phys. C 51, 581 (1991).
M. A. van Eijck, C. R. Stephens, and C. van der Weert, Mod. Phys. Lett. A 9, 309 (1994).
G. Barton, Ann. Phys. (N.Y.) 200, 271 (1990).
A. I. Davydychev, P. Osland, and O. V. Tarasov, Phys. Rev. D 54, 4087 (1996).
S. Ball and Ting-Wai Chiu, Phys. Rev. D 22, 2550 (1980).
F. T. Brandt and J. Frenkel, Phys. Rev. Lett. 74, 1705 (1995).
I. S. Gradshteyn and I. Ryzhik, Table of Integrals, Series and Products (Academic, New York, 1980).
F. T. Brandt, J. Frenkel, and J. C. Taylor, Phys. Rev. D 50, 4110 (1994).
J. Perry and J. C. Collins, Phys. Rev. Lett. 34, 1353 (1975).
H. Matsumoto, Y. Nakano, and H. Umezawa, Phys. Rev. D 29, 1116 (1984).
P. Elmfors and R. Kobes, Phys. Rev. D 51, 774 (1995).
M. Chaichian and M. Hayashi, Acta Phys. Pol. B 27, 1703 (1996).
J. Frenkel, A. Saa, and J. C. Taylor, Phys. Rev. D 46, 3670 (1992).
P. Arnold and C. Zhai, Phys. Rev. D 51, 1906 (1995).
E. Braaten and A. Nieto, Phys. Rev. D 53, 3421 (1996).

[c1] A. H. Weldon, Phys. Rev. D 26, 1394 (1982).

[c2] K. Kajantie and J. Kapusta, Ann. Phys. (N.Y.) 160, 477 (1985).

[c3] R. D. Pisarski, Nucl. Phys. B309, 476 (1988).

[c4] E. Braaten and R. D. Pisarski, Phys. Rev. D 45, 1827 (1992).

[c5] J. Frenkel and J. C. Taylor, Nucl. Phys. B334, 199 (1990); B374, 156 (1992).

[c6] E. Braaten and R. D. Pisarski, Nucl. Phys. B337, 569 (1990); B339, 310 (1990).

[c7] J. Kapusta, Finite Temperature Field Theory (Cambridge University Press, Cambridge, England, 1989).

[c8] F. T. Brandt, J. Frenkel, and J. C. Taylor, Phys. Rev. D 44, 1801 (1991).

[c9] H. Nakkagawa and A. Niegawa, Phys. Lett. B 193, 263 (1987).

[c10] Y. Fujimoto and H. Yamada, Phys. Lett. B 200, 167 (1988).

[c11] R. Baier, B. Pire, and D. Schiff, Z. Phys. C 51, 581 (1991).

[c12] M. A. van Eijck, C. R. Stephens, and C. van der Weert, Mod. Phys. Lett. A 9, 309 (1994).

[c13] G. Barton, Ann. Phys. (N.Y.) 200, 271 (1990).

[c14] A. I. Davydychev, P. Osland, and O. V. Tarasov, Phys. Rev. D 54, 4087 (1996).

[c15] S. Ball and Ting-Wai Chiu, Phys. Rev. D 22, 2550 (1980).

[c16] F. T. Brandt and J. Frenkel, Phys. Rev. Lett. 74, 1705 (1995).

[c17] I. S. Gradshteyn and I. Ryzhik, Table of Integrals, Series and Products (Academic, New York, 1980).

[c18] F. T. Brandt, J. Frenkel, and J. C. Taylor, Phys. Rev. D 50, 4110 (1994).

[c19] J. Perry and J. C. Collins, Phys. Rev. Lett. 34, 1353 (1975).

[c20] H. Matsumoto, Y. Nakano, and H. Umezawa, Phys. Rev. D 29, 1116 (1984).

[c21] P. Elmfors and R. Kobes, Phys. Rev. D 51, 774 (1995).

[c22] M. Chaichian and M. Hayashi, Acta Phys. Pol. B 27, 1703 (1996).

[c23] J. Frenkel, A. Saa, and J. C. Taylor, Phys. Rev. D 46, 3670 (1992).

[c24] P. Arnold and C. Zhai, Phys. Rev. D 51, 1906 (1995).

[c25] E. Braaten and A. Nieto, Phys. Rev. D 53, 3421 (1996).

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High temperature $\ln (T)$ contributions in thermal field theory

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High temperature ln(T) contributions in thermal field theory

Abstract

References (25)

High temperature $\ln (T)$ contributions in thermal field theory