The effective action in Einstein-Maxwell theory

被引:0
作者
Bastianelli, F. [1 ]
Manuel Davila, Jose [2 ]
Schubert, C. [2 ]
机构
[1] Univ Bologna, Dipartimento Fis, Via Irnerio 46, I-40126 Bologna, Italy
[2] Univ Michoacana, Morelia, Michoacan, Mexico
来源
PARTICLES AND FIELDS | 2009年 / 1116卷
关键词
Effective action; Einstein-Maxwell; Worldline formalism; NONLINEAR SIGMA-MODELS; QUANTUM-FIELD THEORY; VACUUM POLARIZATION; DIMENSIONAL REGULARIZATION; DERIVATIVE EXPANSION; LOOP CALCULATIONS; PATH-INTEGRALS; GAUGE-THEORIES; TIME-INTERVAL; ANOMALIES;
D O I
10.1063/1.3131572
中图分类号
O412 [相对论、场论]; O572.2 [粒子物理学];
学科分类号
摘要
Considerable work has been done on the one-loop effective action in combined electromagnetic and gravitational fields, particularly as a tool for determining the properties of light propagation in curved space. After a short review of previous work, I will present some recent results obtained using the worldline formalism. In particular, I will discuss various ways of generalizing the QED Euler-Heisenberg Lagrangians to the Einstein-Maxwell case.
引用
收藏
页码:343 / +
页数:2
相关论文
共 42 条
[1]   Photon splitting in a strong magnetic field: Recalculation and comparison with previous calculations [J].
Adler, SL ;
Schubert, C .
PHYSICAL REVIEW LETTERS, 1996, 77 (09) :1695-1698
[2]   THE BACKGROUND FIELD METHOD AND THE ULTRAVIOLET STRUCTURE OF THE SUPERSYMMETRIC NON-LINEAR SIGMA-MODEL [J].
ALVAREZGAUME, L ;
FREEDMAN, DZ .
ANNALS OF PHYSICS, 1981, 134 (01) :85-109
[3]  
[Anonymous], 2006, Cambridge Monographs on Mathematical Physics, DOI [DOI 10.1017/CBO9780511535031, 10.1017/CBO9780511535031]
[4]   A new algebraic approach for calculating the heat kernel in quantum gravity [J].
Avramidi, IG .
JOURNAL OF MATHEMATICAL PHYSICS, 1996, 37 (01) :374-394
[5]   Dimensional regularization of nonlinear sigma models on a finite time interval [J].
Bastianelli, F ;
Corradini, O ;
van Nieuwenhuizen, P .
PHYSICS LETTERS B, 2000, 494 (1-2) :161-167
[6]   One loop photon-graviton mixing in an electromagnetic field: part 2 [J].
Bastianelli, F. ;
Nucamendi, U. ;
Schubert, C. ;
Villanueva, V. M. .
JOURNAL OF HIGH ENERGY PHYSICS, 2007, (11)
[7]   Mode regularization, time slicing, Weyl ordering, and phase space path integrals for quantum-mechanical nonlinear sigma models [J].
Bastianelli, F ;
Schalm, K ;
van Nieuwenhuizen, P .
PHYSICAL REVIEW D, 1998, 58 (04)
[8]   THE PATH INTEGRAL FOR A PARTICLE IN CURVED SPACES AND WEYL ANOMALIES [J].
BASTIANELLI, F .
NUCLEAR PHYSICS B, 1992, 376 (01) :113-126
[9]   TRACE ANOMALIES FROM QUANTUM-MECHANICS [J].
BASTIANELLI, F ;
VANNIEUWENHUIZEN, P .
NUCLEAR PHYSICS B, 1993, 389 (01) :53-80
[10]   Dimensional regularization of the path integral in curved space on an infinite time interval [J].
Bastianelli, F ;
Corradini, O ;
van Nieuwenhuizen, P .
PHYSICS LETTERS B, 2000, 490 (1-2) :154-162