- Access by Xinjiang University
QED plasma in a background of static gravitational fields
Phys. Rev. D 89, 045011 – Published 18 February, 2014
DOI: https://doi.org/10.1103/PhysRevD.89.045011
Abstract
We derive, in -dimensional space-time, the effective Lagrangian of static gravitational fields interacting with a QED plasma at high temperature. Using the equivalence between the static hard thermal loops and those with zero external energy-momentum, we compute the effective Lagrangian up to two-loop order. We also obtain a nonperturbative contribution which arises from the sum of all infrared divergent ring diagrams. From the gauge and Weyl symmetries of the theory, we deduce to all orders that this effective Lagrangian is equivalent to the pressure of a QED plasma in Minkowski space-time, with the global temperature replaced by the Tolman local temperature.
Article Text
References (24)
- J. Frenkel and J. C. Taylor, Nucl. Phys. B334, 199 (1990); B374, 156 (1992).
- J. C. Taylor and S. M. H. Wong, Nucl. Phys. B346, 115 (1990).
- E. Braaten and R. D. Pisarski, Nucl. Phys. B339, 310 (1990); B337, 569 (1990).
- F. T. Brandt and J. Frenkel, Phys. Rev. D 47, 4688 (1993).
- F. T. Brandt, J. Frenkel, and J. C. Taylor, Nucl. Phys. B814, 366 (2009).
- R. R. Francisco and J. Frenkel, Phys. Lett. B 722, 157 (2013).
- F. T. Brandt, J. Frenkel, and J. C. Taylor, Nucl. Phys. B437, 433 (1995).
- J. Frenkel, S. H. Pereira, and N. Takahashi, Phys. Rev. D 79, 085001 (2009).
- F. T. Brandt and J. B. Siqueira, Phys. Rev. D 86, 105001 (2012).
- F. T. Brandt, J. Frenkel, and J. B. Siqueira, Eur. Phys. J. C 73, 2622 (2013).
- M. E. Peskin and D. V. Schroeder, An Introduction to Quantum Field Theory, Frontiers in Physics (Westview Press, Boulder, 1995).
- L. F. Abbott, Acta Phys. Pol. B 13, 33 (1982).
- F. T. Brandt and J. B. Siqueira, Phys. Rev. D 85, 067701 (2012).
- A. Rebhan, Nucl. Phys. B351, 706 (1991).
- N. Balazs and M. Dawson, Physica (Amsterdam) 31, 222 (1965).
- R. Ebert and R. Göbel, Gen. Relativ. Gravit. 4, 375 (1973).
- R. C. Tolman, Phys. Rev. 35, 904 (1930).
- R. C. Tolman and P. Ehrenfest, Phys. Rev. 36, 1791 (1930).
- R. C. Tolman, Bull. Am. Math. Soc. 39, 49 (1933).
- J. I. Kapusta, Finite Temperature Field Theory (Cambridge University Press, Cambridge, England, 1989).
- F. T. Brandt, J. Frenkel, and J. B. Siqueira, Phys. Rev. D 86, 107701 (2012).
- C. Rovelli and M. Smerlak, Classical Quantum Gravity 28, 075007 (2011).
- H. M. Haggard and C. Rovelli, Phys. Rev. D 87, 084001 (2013).
- N. Birrell and P. Davies, Quantum Fields in Curved Space, Cambridge Monographs on Mathematical Physics (Cambridge University Press, Cambridge, UK, 1982).