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At 2-loop order, Feynman integrals in the Coulomb gauge are divergent over the internal energy variables. Nevertheless, it is known how to calculate the effective action provided that the external gluon fields are all transverse. We show…

High Energy Physics - Theory · Physics 2015-06-22 A. Andrasi , J. C. Taylor

We study backreaction effects in two-dimensional dilaton gravity. The backreaction comes from an $R^2$ term which is a part of the one-loop effective action arising from massive scalar field quantization in a certain approximation. The…

High Energy Physics - Theory · Physics 2009-10-31 C. Chiou-Lahanas , G. A. Diamandis , B. C. Georgalas , A. Kapella-Ekonomou , X. N. Maintas

The derivation of a convergent series representation for the quantum electrodynamic effective action obtained by two of us (S.R.V. and D.R.L.) in [Can. J. Phys. vol. 71, p. 389 (1993)] is reexamined. We present more details of our original…

High Energy Physics - Theory · Physics 2009-11-07 Ulrich D. Jentschura , Holger Gies , Sree Ram Valluri , Darrell R. Lamm , Ernst Joachim Weniger

The gauge and parametrization dependence is discussed in quantum gravity in an arbitrary dimension $D$. Explicit one-loop calculations are performed within the most general parametrization of quantum metric with seven arbitrary parameters.…

High Energy Physics - Theory · Physics 2018-02-07 Jeferson D. Gonçalves , Tibério de Paula Netto , Ilya L. Shapiro

We consider quantum p-form fields interacting with a background dilaton. We calculate the variation with respect to the dilaton of a difference of the effective actions in the models related by a duality transformation. We show that this…

High Energy Physics - Theory · Physics 2010-04-05 P. Gilkey , K. Kirsten , D. Vassilevich , A. Zelnikov

We show how it is possible to formulate Euclidean two-dimensional quantum gravity as the scaling limit of an ordinary statistical system by means of dynamical triangulations, which can be viewed as a discretization in the space of…

High Energy Physics - Theory · Physics 2009-10-28 J. Ambjorn , J. Jurkiewicz , Y. Watabiki

Higher derivative terms are computed in the one-loop effective action governing the interactions of D3-branes, in two ways: (1) in a formalism with N=2 supersymmetry preserved off-shell, and (2) in the standard background field formalism,…

High Energy Physics - Theory · Physics 2009-10-31 V. Periwal , R. von Unge

The possible interpretations of a new continuum model for the two-dimensional quantum gravity for $d>1$ ($d$=matter central charge), obtained by carefully treating both diffeomorphism and Weyl symmetries, are discussed. In particular we…

High Energy Physics - Lattice · Physics 2015-06-25 M. Martellini , M. Spreafico , K. Yoshida

We provide an elementary systematic discussion of single-trace matrix actions and of the group of matrix reparameterization that acts on them. The action of this group yields a generalized notion of gauge invariance which encompasses…

High Energy Physics - Theory · Physics 2015-06-12 Frank Ferrari

We compute the one-loop effective action in unimodular gravity, starting from two different classical formulations of the theory. We find that the effective action is the same in both cases, and agrees with the one of General Relativity.

General Relativity and Quantum Cosmology · Physics 2018-01-31 R. de Leon Ardon , N. Ohta , R. Percacci

The one-loop effective action for a $p$ brane embedded in a $D=p+2$ Minkowski spacetime in the static gauge is calculated. Rescaling the quantum fluctuation by $\sqrt{-g_0}$ evaluated on the background brane leads to the one-loop effective…

High Energy Physics - Theory · Physics 2010-02-03 Tae-Hun Lee

Starting from an action for discretized gravity we derive a canonical formalism that exactly reproduces the dynamics and (broken) symmetries of the covariant formalism. For linearized Regge calculus on a flat background -- which exhibits…

General Relativity and Quantum Cosmology · Physics 2011-08-11 Bianca Dittrich , Philipp A Hoehn

We construct a two-dimensional action that is an extension of spherically symmetric Einstein-Lanczos-Lovelock gravity. The action contains arbitrary functions of the areal radius and the norm squared of its gradient, but the field equations…

General Relativity and Quantum Cosmology · Physics 2017-06-13 Gabor Kunstatter , Hideki Maeda , Tim Taves

It is shown that the gauge invariance and gauge dependence properties of effective action for Yang-Mills theories should be considered as two independent issues in the background field formalism. Application of this formalism to formulate…

High Energy Physics - Theory · Physics 2019-05-01 Peter M. Lavrov

We investigate the four-derivative free Weyl action for two-column mixed-symmetry field that makes use of maximal gauge symmetries. In flat space, the action can be uniquely determined from gauge and Weyl (trace shift) symmetry…

High Energy Physics - Theory · Physics 2016-10-25 Euihun Joung , Karapet Mkrtchyan

The Euler-Heisenberg effective action in a self-dual background is remarkably simple at two-loop. This simplicity is due to the inter-relationship between self-duality, helicity and supersymmetry. Applications include two-loop helicity…

High Energy Physics - Theory · Physics 2017-08-23 Gerald V. Dunne , Christian Schubert

The study of effective potential for the scalar Lee-Wick pseudo-electrodynamics in one-loop is presented in this letter. The planar and non-local Lee-Wick pseudo-electrodynamics is so coupled to a complex scalar field sector in 1+2…

High Energy Physics - Theory · Physics 2025-08-26 M. J. Neves

In this paper we calculate the divergent part of the one loop effective action for QED on noncommutative space using the background field method. The effective action is obtained up to the second order in the noncommutativity parameter…

High Energy Physics - Theory · Physics 2007-05-23 Maja Buric , Voja Radovanovic

We study two--loop renormalization in $(2+\epsilon)$--dimensional quantum gravity. As a first step towards the full calculation, we concentrate on the divergences which are proportional to the number of matter fields. We calculate the…

High Energy Physics - Theory · Physics 2016-09-06 Toshiaki Aida , Yoshihisa Kitazawa , Jun Nishimura , Asato Tsuchiya

Electromagnetic duality of Maxwell theory is a symmetry of equations but not of the action. The usual application of the `complexity=action' conjecture would thus loose this duality. It was recently proposed in arxiv:1901.00014 that the…

High Energy Physics - Theory · Physics 2019-10-02 Hai-Shan Liu , H. Lu