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In this work, we mainly study the one-loop effective action for real scalar theories in non-homogeneous backgrounds in odd dimensions. It is shown that through the method studied in Ref. [1], it is possible to obtain a unified result for…

High Energy Physics - Theory · Physics 2011-04-06 Burak Tevfik Kaynak

In these lectures we describe the construction of a gauge invariant renormalization group equation for pure non-Abelian gauge theory. In the process, a non-perturbative gauge invariant continuum Wilsonian effective action is precisely…

High Energy Physics - Theory · Physics 2007-05-23 Tim R. Morris

We compute the effective action of QED at one loop order for an electric field which points in the $\hat{z}$ direction and depends arbitrarily upon the light cone time coordinate, $x^+ = (x^0 + x^3)/\sqrt{2}$. This calculation generalizes…

High Energy Physics - Theory · Physics 2009-11-07 H. M. Fried , R. P. Woodard

The one-loop effective action for the scalar field part of a non-Abelian gauge theory based on a general gauge group of the form $G\times U(1)$, where the gauge group $G$ is arbitrary, is calculated. A complex scalar field, both Abelian and…

High Energy Physics - Theory · Physics 2019-06-07 David J. Toms

We elaborate further on the one-loop effective action of the IKKT model on 3 + 1 dimensional covariant quantum spacetime in the presence of fuzzy extra dimensions. In particular, we describe the one-loop effective action in terms of a…

High Energy Physics - Theory · Physics 2024-11-06 Alessandro Manta , Harold C. Steinacker , Tung Tran

We consider the one-loop effective action due to gravitons in a FLRW background with constant epsilon=-(dH/dt)/H^2. By expanding around epsilon=0 (corresponding to an expansion around de Sitter space), we can study how the deviation from de…

General Relativity and Quantum Cosmology · Physics 2008-07-04 Tomas Janssen , Shun-Pei Miao , Tomislav Prokopec

The main results are: 1. A manifestly covariant technique for the calculation of De Witt coefficients is elaborated; 2. The coefficients $a_3$ and $a_4$ are calculated; 3. Covariant methods for the study of the nonlocal structure of the…

High Energy Physics - Theory · Physics 2008-02-03 Ivan G. Avramidi

We compute the one-loop divergences in a higher-derivative theory of gravity including Ricci tensor squared and Ricci scalar squared terms, in addition to the Hilbert and cosmological terms, on an (generally off-shell) Einstein background.…

High Energy Physics - Theory · Physics 2017-10-25 N. Ohta , R. Percacci , A. D. Pereira

In this work we use the framework of effective field theory to couple Einstein's gravity to scalar electrodynamics and determine the renormalization of the model through the study of physical processes below Planck scale, a realm where…

High Energy Physics - Theory · Physics 2016-04-14 L. Ibiapina Bevilaqua , A. C. Lehum , A. J. da Silva

A gauge invariant Wilsonian effective action is constructed for pure SU(N) Yang-Mills theory by formulating the corresponding flow equation. Manifestly gauge invariant calculations can be performed i.e. without gauge fixing or ghosts.…

High Energy Physics - Theory · Physics 2009-11-07 Tim R. Morris

The field-theoretic one-loop effective action in a static scalar background depending nontrivially on a single spatial coordinate is related, in the proper-time formalism, to the trace of the evolution kernel (or heat kernel) for an…

High Energy Physics - Theory · Physics 2009-11-07 Chanju Kim , O-Kab Kwon , Choonkyu Lee

In order to test the Einstein gravitation theory (EGT) we compare their predictions with the measured results in the following phenomena: the perihelion advance of planets, deflection of light, radar echo delays around the Sun and an…

General Relativity and Quantum Cosmology · Physics 2010-07-02 M. Cattani

In this work we make use of proper-time method to evaluate Schwinger effect in the presence of Lorentz-violating background fields. Specifically, we evaluate the one-loop effective Lagrangian in the presence of Lorentz-violating time-like…

High Energy Physics - Theory · Physics 2022-08-08 Rafael L. J. Costa , Rodrigo F. Sobreiro

The structure of one-loop divergences of two-dimensional dilaton-Maxwell quantum gravity is investigated in two formalisms: one using a convenient effective action and the other a unique effective action. The one-loop divergences (including…

High Energy Physics - Theory · Physics 2010-05-07 E. Elizalde , S. Naftulin , S. D. Odintsov

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

The one-loop effective action for a generic set of quantum fields is calculared as a nonlocal expansion in powers of the curvatures (field strengths). This expansion is obtained to third order in the curvature. It is stressed that the…

High Energy Physics - Theory · Physics 2009-10-28 A. O. Barvinsky , Yu. V. Gusev , G. A. Vilkovisky , V. V. Zhytnikov

In order to investigate the Higgs mechanism nonperturbatively, we compute the Gaussian effective potential (GEP) of the U(1) Higgs model ("scalar electrodynamics"). We show that the same simple result is obtained in three different…

High Energy Physics - Phenomenology · Physics 2007-05-23 R. Ibanez-Meier , I. Stancu , P. M. Stevenson

We calculate the one-loop divergences for quantum gravity with cosmological constant, using new parametrization of quantum metric. The conformal factor of the metric is treated as an independent variable. As a result the theory possesses an…

General Relativity and Quantum Cosmology · Physics 2011-04-12 G. de Berredo-Peixoto , A. B. Penna-Firme , I. L. Shapiro

It is shown how to write the first order action for gravity in a gauge theoretic formalism where the spin connection and frame field degrees of freedom are assimilated together into a gauge connection. It is then shown how to couple the…

High Energy Physics - Theory · Physics 2014-08-12 Steven Kerr

Several investigations show that in a very small length scale there exists corrections to the entropy of black hole horizon. Due to fluctuations of the background metric and the external fields the action incorporates corrections. In the…

General Relativity and Quantum Cosmology · Physics 2014-05-21 Bibhas Ranjan Majhi , Sumanta Chakraborty
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