Derivative expansion for the one-loop effective Lagrangian in OED

被引:68
作者
Gusynin, VP
Shovkovy, IA
机构
[1] UNIV WESTERN ONTARIO,DEPT MATH APPL,LONDON,ON N6A 5B7,CANADA
[2] BOGOLYUBOV INST THEORET PHYS,KIEV 252143,UKRAINE
[3] UNIV GRONINGEN,INST THEORET PHYS,9747 AG GRONINGEN,NETHERLANDS
关键词
D O I
10.1139/p96-044
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
The derivative expansion of the one-loop effective Lagrangian in QED(4) is considered. The first term in such an expansion is the famous Schwinger result for a constant electromagnetic field. In this paper we give an explicit expression for the next term containing two derivatives of the field strength F-mu v. The results are presented for both fermion and scalar electrodynamics. Some possible applications of an inhomogeneous external field are pointed out.
引用
收藏
页码:282 / 289
页数:8
相关论文
共 40 条
[21]   NEW ALGORITHM FOR COMPUTING THE COEFFICIENTS IN THE HEAT KERNEL-EXPANSION [J].
GUSYNIN, VP .
PHYSICS LETTERS B, 1989, 225 (03) :233-239
[22]   ON-DIAGONAL HEAT KERNEL-EXPANSION IN COVARIANT DERIVATIVES IN CURVED SPACE [J].
GUSYNIN, VP ;
KUSHNIR, VA .
CLASSICAL AND QUANTUM GRAVITY, 1991, 8 (02) :279-285
[23]   CATALYSIS OF DYNAMICAL FLAVOR SYMMETRY-BREAKING BY A MAGNETIC-FIELD IN 2+1-DIMENSIONS [J].
GUSYNIN, VP ;
MIRANSKY, VA ;
SHOVKOVY, IA .
PHYSICAL REVIEW LETTERS, 1994, 73 (26) :3499-3502
[24]   HEAT KERNEL-EXPANSION FOR NONMINIMAL DIFFERENTIAL-OPERATORS AND MANIFOLDS WITH TORSION [J].
GUSYNIN, VP ;
GORBAR, EV ;
ROMANKOV, VV .
NUCLEAR PHYSICS B, 1991, 362 (1-2) :449-471
[25]   SEELEY-GILKEY COEFFICIENTS FOR 4TH-ORDER OPERATORS ON A RIEMANNIAN MANIFOLD [J].
GUSYNIN, VP .
NUCLEAR PHYSICS B, 1990, 333 (01) :296-316
[26]   DYNAMICAL CHIRAL-SYMMETRY BREAKING BY A MAGNETIC-FIELD IN QED [J].
GUSYNIN, VP ;
MIRANSKY, VA ;
SHOVKOVY, IA .
PHYSICAL REVIEW D, 1995, 52 (08) :4747-4751
[27]  
GUSYNIN VP, 1990, YAD FIZ, V51, P587
[28]   DERIVATIVE EXPANSIONS IN QUANTUM ELECTRODYNAMICS [J].
LEE, HW ;
PAC, PY ;
SHIN, HK .
PHYSICAL REVIEW D, 1989, 40 (12) :4202-4205
[29]   FINITE-SIZE EFFECTS IN PAIR PRODUCTION BY AN EXTERNAL-FIELD [J].
MARTIN, C ;
VAUTHERIN, D .
PHYSICAL REVIEW D, 1988, 38 (11) :3593-3595
[30]   RADIATIVE-CORRECTIONS IN A NONLOCAL FIELD-THEORY [J].
MCKEON, DGC .
CANADIAN JOURNAL OF PHYSICS, 1993, 71 (7-8) :334-339