Resummation in a hot scalar field theory

Rajesh R. Parwani

doi:10.1103/PhysRevD.45.4695

Access by Xinjiang University

Resummation in a hot scalar field theory

Rajesh R. Parwani^*

Institute for Theoretical Physics, State University of New York at Stony Brook, Stony Brook, New York 11794-3840

^*Address after September 1, 1992: Service de Physique Theorique de Saclay, 91191 Gif-sur-Yvette Cedex, France.

PDF

Phys. Rev. D 45, 4695 – Published 15 June, 1992Erratum Phys. Rev. D 48, 5965 (1993)

DOI: https://doi.org/10.1103/PhysRevD.45.4695

Abstract

A resummed perturbative expansion is used to obtain the self-energy in the high-temperature $g^{2} φ^{4}$ field-theory model up to order $g^{4}$ . From this the zero-momentum pole of the effective propagator is evaluated to determine the induced thermal mass and damping rate for the bosons in the plasma to order $g^{3}$ . The calculations are performed in the imaginary-time formalism and a simple diagrammatic analysis is used to identify the relevant diagrams at each order. Results are compared with similar real-time calculations found in the literature.

Erratum

Erratum: Resummation in a hot scalar field theory

Rajesh R. Parwani

Phys. Rev. D 48, 5965 (1993)

References (16)

A. Linde, Rep. Prog. Phys. 42, 389 (1979) D. J. Gross, R. D. Pisarski, and L. G. Yaffe, Rev. Mod. Phys. 53, 43 (1981)
S. Weinberg, Phys. Rev. D 9, 3357 (1974)
R. D. Pisarski, Phys. Rev. Lett. 63, 1129 (1989) E. Braaten and R. D. Pisarski, Nucl. Phys. B337, 569 (1990) R. D. Pisarski, in Quark Matter 90, Proceedings of the Conference, Menton, France, 1990, edited by J. P. Blaizot [Nucl. Phys. A525 (1991)]
E. Braaten and T. C. Yuan, Phys. Rev. Lett. 66, 2183 (1991)
T. Altherr, Phys. Lett. B 238, 360 (1990)
N. Banerjee and S. Mallik, Phys. Rev. D 43, 3368 (1991)
S. P. Chia, Int. J. Mod. Phys. A 2, 713 (1987) P. Fendley, Phys. Lett. B 196, 175 (1987)
M. B. Kislinger and P. D. Morley, Phys. Rev. D 13, 2771 (1976) H. Matsumoto, I. Ojima, and H. Umezawa, Ann. Phys. (N.Y.) 152, 348 (1984)
B. de Wit and J. Smith, Field Theory in Particle Physics (North-Holland, Amsterdam, 1986)
A. A. Abrikosov, L. P. Gorkov, and I. E. Dzyaloshonski, Methods of Quantum Field Theory in Statistical Physics (Dover, New York, 1975)
J. Kapusta, Finite Temperature Field Theory (Cambridge University Press, Cambridge, England, 1985)
R. D. Pisarski, Nucl. Phys. B309, 476 (1988)
L. Dolan and R. Jackiw, Phys. Rev. D 9, 3320 (1974)
H. A. Weldon, Phys. Rev. D 28, 2007 (1983)
E. Mendels, Nuovo Cimento 45, 87 (1978)
[8] [6]

[c1] A. Linde, Rep. Prog. Phys. 42, 389 (1979) D. J. Gross, R. D. Pisarski, and L. G. Yaffe, Rev. Mod. Phys. 53, 43 (1981)

[c2] S. Weinberg, Phys. Rev. D 9, 3357 (1974)

[c3] R. D. Pisarski, Phys. Rev. Lett. 63, 1129 (1989) E. Braaten and R. D. Pisarski, Nucl. Phys. B337, 569 (1990) R. D. Pisarski, in Quark Matter 90, Proceedings of the Conference, Menton, France, 1990, edited by J. P. Blaizot [Nucl. Phys. A525 (1991)]

[c4] E. Braaten and T. C. Yuan, Phys. Rev. Lett. 66, 2183 (1991)

[c5] T. Altherr, Phys. Lett. B 238, 360 (1990)

[c6] N. Banerjee and S. Mallik, Phys. Rev. D 43, 3368 (1991)

[c7] S. P. Chia, Int. J. Mod. Phys. A 2, 713 (1987) P. Fendley, Phys. Lett. B 196, 175 (1987)

[c8] M. B. Kislinger and P. D. Morley, Phys. Rev. D 13, 2771 (1976) H. Matsumoto, I. Ojima, and H. Umezawa, Ann. Phys. (N.Y.) 152, 348 (1984)

[c9] B. de Wit and J. Smith, Field Theory in Particle Physics (North-Holland, Amsterdam, 1986)

[c10] A. A. Abrikosov, L. P. Gorkov, and I. E. Dzyaloshonski, Methods of Quantum Field Theory in Statistical Physics (Dover, New York, 1975)

[c11] J. Kapusta, Finite Temperature Field Theory (Cambridge University Press, Cambridge, England, 1985)

[c12] R. D. Pisarski, Nucl. Phys. B309, 476 (1988)

[c13] L. Dolan and R. Jackiw, Phys. Rev. D 9, 3320 (1974)

[c14] H. A. Weldon, Phys. Rev. D 28, 2007 (1983)

[c15] E. Mendels, Nuovo Cimento 45, 87 (1978)

[c16] [8] [6]

Physical Review D

Export citation

Export citation

Resummation in a hot scalar field theory

Abstract

Erratum

Erratum: Resummation in a hot scalar field theory

References (16)

Outline

Information

Filter

Filter

Article Lookup

Enter a citation