One-loop nonlinear correction for QED

2016 ◽  
Vol 31 (27) ◽  
pp. 1650153
Author(s):  
J. S. N. Furtado ◽  
G. R. Silva
Keyword(s):  
Effective Action ◽  
External Momentum ◽  
Nonlinear Correction ◽  
Derivative Expansion

In this work, we study the generation of a nonlinear correction for QED, namely, the Euler–Heisenberg effective action. In order to achieve this, we consider two methods. The first method employed consists in make use of Feynman parametrization to solve the integrals properly, while in the second method a derivative expansion in the external momentum was considered.

scholarly journals The fermionic universal one-loop effective action

2020 ◽  
Vol 2020 (11) ◽  
Author(s):  
Sebastian A. R. Ellis ◽  
Jérémie Quevillon ◽  
Pham Ngoc Hoa Vuong ◽  
Tevong You ◽  
Zhengkang Zhang
Keyword(s):  
Path Integral ◽  
Effective Action ◽  
Covariant Derivative ◽  
Heavy Fermion ◽  
Axial Vector ◽  
Derivative Expansion ◽  
Universal Structure ◽  
Pseudo Scalar ◽  
Matching Techniques ◽  
Analytical Expressions

Abstract Recent development of path integral matching techniques based on the covariant derivative expansion has made manifest a universal structure of one-loop effective Lagrangians. The universal terms can be computed once and for all to serve as a reference for one-loop matching calculations and to ease their automation. Here we present the fermionic universal one-loop effective action (UOLEA), resulting from integrating out heavy fermions (Dirac or Majorana) with scalar, pseudo-scalar, vector and axial-vector couplings. We also clarify the relation of the new terms computed here to terms previously computed in the literature and those that remain to complete the UOLEA. Our results can be readily used to efficiently obtain analytical expressions for effective operators arising from heavy fermion loops [13].

scholarly journals Derivative expansion at small mass for the spinor effective action

2011 ◽  
Vol 83 (10) ◽  
Author(s):  
Gerald V. Dunne ◽  
Adolfo Huet ◽  
Jin Hur ◽  
Hyunsoo Min
Keyword(s):  
Effective Action ◽  
Small Mass ◽  
Derivative Expansion

scholarly journals An All-Orders Derivative Expansion

1997 ◽  
Vol 12 (06) ◽  
pp. 1143-1151 ◽  
Author(s):  
Gerald Dunne
Keyword(s):  
Magnetic Field ◽  
Effective Action ◽  
Exact Result ◽  
Inhomogeneous Magnetic Field ◽  
Derivative Expansion ◽  
Spatially Inhomogeneous ◽  
Convergent Expansion

We evaluate the exact QED2+1 effective action for fermions in the presence of a family of static but spatially inhomogeneous magnetic field profiles. This exact result yields an all-orders derivative expansion of the effective action, and indicates that the derivative expansion is an asymptotic, rather than a convergent, expansion.

scholarly journals The higher derivative expansion of the effective action by the string-inspired method. I

1994 ◽  
Vol 64 (1) ◽  
pp. 111-116 ◽  
Author(s):  
Denny Fliegner ◽  
Michael G. Schmidt ◽  
Christian Schubert
Keyword(s):  
Effective Action ◽  
Derivative Expansion ◽  
Higher Derivative

CONVERGENCE OF DERIVATIVE AND INVERSE EFFECTIVE MASS EXPANSIONS FOR THE ONE LOOP EFFECTIVE ACTION

1987 ◽  
Vol 02 (05) ◽  
pp. 353-358 ◽  
Author(s):  
ROBERT J. PERRY ◽  
MING LI
Keyword(s):  
Effective Mass ◽  
Effective Action ◽  
Asymptotic Series ◽  
Background Field ◽  
Higher Order ◽  
Numerical Results ◽  
Derivative Expansion ◽  
Loop Correction ◽  
The One ◽  
Higher Order Corrections

Numerical results for the one loop correction to (ϕ4)2 are compared to results obtained from a derivative expansion and an expansion in inverse powers of the effective mass. We vary the scalar background field to illustrate when and why these expansions succeed, and how they break down. It is shown that both expansions behave like asymptotic series, with the approximation improving until higher order corrections grow in magnitude.

scholarly journals Summing the derivative expansion of the effective action

2002 ◽  
Vol 620 (3) ◽  
pp. 566-578 ◽  
Author(s):  
Eduard Massó ◽  
Francesc Rota
Keyword(s):  
Effective Action ◽  
Derivative Expansion
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