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It is known that the one-loop effective action of ${QED}_2$ is a quadratic in the field strength when the fermion mass is zero: all potential higher order contributions beyond second order vanish. For nonzero fermion mass it is shown that…

High Energy Physics - Theory · Physics 2014-11-18 M. P. Fry

The methods of quantum field theory are widely used in condensed matter physics. In particular, the concept of an effective action was proven useful when studying low temperature and long distance behavior of condensed matter systems. Often…

Strongly Correlated Electrons · Physics 2017-08-25 Alexander G. Abanov

We study the quantum gravitational system coupled to a charged scalar, Dirac fermions, and electromagnetic fields. We use the "exact" or "functional" renormalization group equation to derive the effective action $\Gamma_0$ by integrating…

High Energy Physics - Theory · Physics 2020-10-28 Nobuyoshi Ohta , Leslaw Rachwal

We study the large-scale dynamics of charged particles in a rapidly oscillating field and formulate its classical and quantum effective theory description. The high-order perturbative results for the effective action are presented.…

High Energy Physics - Phenomenology · Physics 2026-05-11 Alexander A. Penin , Aneca Su

We evaluate the thermodynamic quantities of Yang-Mills theory using the Gribov quantization, which deals with nonperturbative resummation. The magnetic scale is automatically incorporated into the framework and we find it efficient to…

High Energy Physics - Phenomenology · Physics 2013-10-22 Kenji Fukushima , Nan Su

We show that the four derivative terms in the effective action of three-dimensional N=8 Yang-Mills theory are determined by supersymmetry. These terms receive both perturbative and non-perturbative corrections. Using our technique for…

High Energy Physics - Theory · Physics 2007-05-23 Sonia Paban , Savdeep Sethi , Mark Stern

A manifestly gauge invariant exact renormalization group for pure SU(N) Yang-Mills theory is proposed, along with the necessary gauge invariant regularisation which implements the effective cutoff. The latter is naturally incorporated by…

High Energy Physics - Theory · Physics 2007-05-23 Stefano Arnone , Antonio Gatti , Tim R. Morris

We study IR/UV mixing effects in noncommutative supersymmetric Yang-Mills theories with gauge group U(N) using background field perturbation theory. We compute three- and four-point functions of background fields, and show that the IR/UV…

High Energy Physics - Theory · Physics 2009-11-10 Jonathan Levell , Gabriele Travaglini

We consider bosons on Euclidean R^4 that are minimally coupled to an external Yang-Mills field. We compute the logarithmically divergent part of the cut-off regularized quantum effective action of this system. We confirm the known result…

Mathematical Physics · Physics 2009-11-10 Juha Loikkanen , Cornelius Paufler

Sengupta's lower bound for the Yang-Mills action on smooth connections on a bundle over a Riemann surface generalizes to the space of connections whose action is finite. In this larger space the inequality can always be saturated. The…

Differential Geometry · Mathematics 2015-06-26 Dana Stanley Fine

We derive the 1-loop effective action of the cubic Galileon coupled to quantum-gravitational fluctuations in a background and gauge-independent manner, employing the covariant framework of DeWitt and Vilkovisky. Although the bare action…

High Energy Physics - Theory · Physics 2017-05-24 Ippocratis D. Saltas , Vincenzo Vitagliano

We present the one-loop effective action of a quantum scalar field with DSR1 space-time symmetry as a sum over field modes. The effective action has real and imaginary parts and manifest charge conjugation asymmetry, which provides an…

High Energy Physics - Theory · Physics 2009-11-11 M V Cougo-Pinto , C Farina , F S S Rosa , J F M Mendes

A quantization procedure for the Yang-Mills equations for the Minkowski space $\mathbf{R}^{1,3}$ is carried out in such a way that field maps satisfying Wightman axioms of Constructive Quantum Field Theory can be obtained. Moreover, by…

General Mathematics · Mathematics 2024-03-28 Simone Farinelli

Within the effective average action approach to quantum gravity, we recover the low energy effective action as derived in the effective field theory framework, by studying the flow of possibly non-local form factors that appear in the…

High Energy Physics - Theory · Physics 2014-11-21 A. Satz , A. Codello , F. D. Mazzitelli

We quantize super Yang-Mills action in $\mathcal{N}=3$ harmonic superspace using "Fermi-Feynman" gauge and also develop the background field formalism. This leads to simpler propagators and Feynman rules that are useful in performing…

High Energy Physics - Theory · Physics 2020-09-28 Dharmesh Jain , Chia-Yi Ju , Warren Siegel

We consider four-dimensional Euclidean Yang-Mills theories quantized in the maximal Abelian and linear covariant gauges at finite temperature. Non-perturbatively, the Faddeev-Popov procedure must be improved to take into account the…

High Energy Physics - Theory · Physics 2025-02-20 Luigi Carvalho Ferreira

We apply the finite size scaling analysis to the derivative of the density of the effective action for the lattice U(1) pure gauge theory in an external constant magnetic field. We found the presence of a continuous phase transition.…

High Energy Physics - Lattice · Physics 2009-10-28 Paolo Cea , Leonardo Cosmai , Antonio D. Polosa

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

We apply the effective field theory approach to quasi-single field inflation, which contains an additional scalar field with Hubble scale mass other than inflaton. Based on the time-dependent spatial diffeomorphism, which is not broken by…

High Energy Physics - Theory · Physics 2015-06-12 Toshifumi Noumi , Masahide Yamaguchi , Daisuke Yokoyama

Four dimensional Yang-Mills theory formulated through an action on twistor space has a larger gauge symmetry than the usual formulation, which in previous work was shown to allow a simple gauge transformation between text-book perturbation…

High Energy Physics - Theory · Physics 2008-11-26 Rutger Boels
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