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

scholarly journals The Higher Derivative Expansion of the Effective Action by the String Inspired Method, II

1998 ◽  
Vol 264 (1) ◽  
pp. 51-74 ◽  
Author(s):  
D. Fliegner ◽  
P. Haberl ◽  
M.G. Schmidt ◽  
C. Schubert
Keyword(s):  
Effective Action ◽  
Derivative Expansion ◽  
Higher Derivative

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 Supergraph calculation of one-loop divergences in higher-derivative 6D SYM theory

2020 ◽  
Vol 2020 (8) ◽  
Author(s):  
I. L. Buchbinder ◽  
E. A. Ivanov ◽  
B. S. Merzlikin ◽  
K. V. Stepanyantz
Keyword(s):  
Effective Action ◽  
A Priori ◽  
Coupling Constant ◽  
Harmonic Superspace ◽  
Classical Action ◽  
Higher Derivative ◽  
Component Approach ◽  
Dimensionless Coupling ◽  
The One ◽  
Dimensionless Coupling Constant

Abstract We apply the harmonic superspace approach for calculating the divergent part of the one-loop effective action of renormalizable 6D, $$ \mathcal{N} $$ N = (1, 0) supersymmetric higher-derivative gauge theory with a dimensionless coupling constant. Our consideration uses the background superfield method allowing to carry out the analysis of the effective action in a manifestly gauge covariant and $$ \mathcal{N} $$ N = (1, 0) supersymmetric way. We exploit the regularization by dimensional reduction, in which the divergences are absorbed into a renormalization of the coupling constant. Having the expression for the one-loop divergences, we calculate the relevant β-function. Its sign is specified by the overall sign of the classical action which in higher-derivative theories is not fixed a priori. The result agrees with the earlier calculations in the component approach. The superfield calculation is simpler and provides possibilities for various generalizations.

The Vilkovisky-De Witt effective action in multidimensional higher derivative gravity

1988 ◽  
Vol 215 (3) ◽  
pp. 483-488 ◽  
Author(s):  
S.D. Odintsov
Keyword(s):  
Effective Action ◽  
Higher Derivative

scholarly journals Induction of the higher-derivative Chern–Simons extension in QED3

2016 ◽  
Vol 31 (25) ◽  
pp. 1650140 ◽  
Author(s):  
M. A. Anacleto ◽  
F. A. Brito ◽  
O. Holanda ◽  
E. Passos ◽  
A. Yu. Petrov
Keyword(s):  
Effective Action ◽  
Three Dimensional ◽  
Higher Derivative ◽  
Chern Simons

We perform the perturbative generation of the higher-derivative Chern–Simons contribution to the effective action in the three-dimensional QED at zero and finite temperatures. In the latter case, we show that as the temperature goes to infinity this contribution vanishes. However, as expected, as the temperature goes to zero only the covariant part survives. The noncovariant part contributes only in intermediate temperatures where it presents a maximum.

scholarly journals ON THE CONFORMAL ANOMALY FROM HIGHER DERIVATIVE GRAVITY IN AdS/CFT CORRESPONDENCE

2000 ◽  
Vol 15 (03) ◽  
pp. 413-428 ◽  
Author(s):  
SHIN'ICHI NOJIRI ◽  
SERGEI D. ODINTSOV
Keyword(s):  
Effective Action ◽  
Einstein Gravity ◽  
Low Energy ◽  
Field Theories ◽  
Conformal Anomaly ◽  
Two Dimensional ◽  
Conformal Field Theories ◽  
Yang Mills ◽  
Conformal Field ◽  
Higher Derivative

We follow Witten's proposal1 in the calculation of conformal anomaly from (d + 1)-dimensional higher derivative gravity via AdS/CFT correspondence. It is assumed that some d-dimensional conformal field theories have a description in terms of above (d + 1)-dimensional higher derivative gravity which includes not only the Einstein term and cosmological constant but also curvature squared terms. The explicit expression for two-dimensional and four-dimensional anomalies is found, it contains higher derivative corrections. In particular, it is shown that not only Einstein gravity but also theory with the Lagrangian L =aR2 + bRμνRμν + Λ (even when a=0 or b=0) is five-dimensional bulk theory for [Formula: see text] super-Yang–Mills theory in AdS/CFT correspondence. Similarly, the d + 1 = 3 theory with (or without) Einstein term may describe d = 2 scalar or spinor CFT's. That gives new versions of bulk side which may be useful in different aspects. As application of our general formalism we find next-to-leading corrections to the conformal anomaly of [Formula: see text] supersymmetric theory from d = 5 AdS higher derivative gravity (low energy string effective action).

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 Derivative expansion of the effective action and the renormalization group equation

2007 ◽  
Vol 76 (10) ◽  
Author(s):  
F. A. Chishtie ◽  
Junji Jia ◽  
D. G. C. McKeon
Keyword(s):  
Renormalization Group ◽  
Effective Action ◽  
Renormalization Group Equation ◽  
Group Equation ◽  
Derivative Expansion
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