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We investigate the employment of a non-perturbative regularization scheme -- the spectral regularization, which is based on the gauge technique, previously implemented in the context of chiral quark models -- in the study of the gauge…

High Energy Physics - Theory · Physics 2024-02-20 L. F. Eleotério , G. A. Oliveira , E. W. Dias , H. Caldas , A. L. Mota

We study spherical charged black holes in the presence of a cosmological constant with corrections motivated by the theory of loop quantum gravity. The effective theory is constructed at the Hamiltonian level by introducing certain…

General Relativity and Quantum Cosmology · Physics 2023-04-12 Asier Alonso-Bardaji , David Brizuela , Raül Vera

We study the quantum aspects of the conformal gravity in four dimensions, specifically addressing a known discrepancy in beta functions between general quadratic curvature theories and conformal gravity, which corresponds to two scalar…

High Energy Physics - Theory · Physics 2025-12-25 Hikaru Kawai , Nobuyoshi Ohta

We search a gravitational system which allows a non-relativistic hybrid geometry interpolating the Schr\"odinger and Lifshitz spacetimes as a solution, as a continuation of the previous work employing a flow equation. As such a candidate an…

High Energy Physics - Theory · Physics 2020-02-26 Sinya Aoki , Janos Balog , Shuichi Yokoyama , Kentaroh Yoshida

This ia a review/research paper on anomalies applied to a bottom-up approach to standard model and gravity. It is divided in two parts. The first consists in a review proper of anomalies in quantum field theories. Anomalies are analyzed…

High Energy Physics - Theory · Physics 2025-10-29 Loriano Bonora , Stefano G. Giaccari

The gravitational anomalies in two dimensions, specifically the Einstein anomaly and the Weyl anomaly, are fully determined by means of dispersion relations. In this approach the anomalies originate from the peculiar infrared feature of the…

High Energy Physics - Theory · Physics 2009-10-31 R. A. Bertlmann , E. Kohlprath

We investigate the principal chiral model between two and four dimensions by means of a non perturbative Wilson-like renormalization group equation. We are thus able to follow the evolution of the effective coupling constants within this…

Statistical Mechanics · Physics 2009-10-31 M. Tissier , D. Mouhanna , B. Delamotte

We consider two-dimensional chiral, first-order conformal field theories governing maps from the Riemann sphere to the projective light cone inside Minkowski space -- the natural setting for describing conformal field theories in two fewer…

High Energy Physics - Theory · Physics 2017-09-13 Tim Adamo , Ricardo Monteiro , Miguel F. Paulos

These lectures on anomalies are relatively self-contained and intended for graduate students who are familiar with the basics of quantum field theory. We begin with several derivations of the abelian anomaly: anomalous transformation of the…

High Energy Physics - Theory · Physics 2008-02-06 Adel Bilal

We study gravitational anomalies for fivebranes in M theory. We show that an apparent anomaly in diffeomorphisms acting on the normal bundle is cancelled by a careful treatment of the M theory Chern-Simons coupling in the presence of…

High Energy Physics - Theory · Physics 2008-11-26 D. Freed , J. A. Harvey , R. Minasian , G. Moore

We study the stability of three-dimensional numerical evolutions of the Einstein equations, comparing the standard ADM formulation to variations on a family of formulations that separate out the conformal and traceless parts of the system.…

We derive and analyze exact static solutions to the gravitating O(3) $\sigma$ model with cosmological constant in (2+1) dimensions. Both signs of the gravitational and cosmological constants are considered. Our solutions include…

General Relativity and Quantum Cosmology · Physics 2009-10-31 G. Clement , A. Fabbri

Usual gauge fixing procedures in classical general relativity rely on the existence of solutions of a second order wave equation. We propose to use the equation to relate asymptotic symmetries at infinity to asymptotic symmetries of a black…

High Energy Physics - Theory · Physics 2017-04-19 Bruno Carneiro da Cunha , Filipe Rudrigues

This work investigates the echoes in axial gravitational perturbations in compact objects. To this end, we propose an alternative scheme of the finite difference method implemented in two coordinate systems, where the initial conditions are…

General Relativity and Quantum Cosmology · Physics 2023-09-04 Kai Lin , Wei-Liang Qian

The phenomena of confinement and dynamical chiral symmetry breaking are basic to understanding hadron observables. They can be explored using Dyson-Schwinger equations. The existence of a systematic, nonperturbative and symmetry preserving…

Nuclear Theory · Physics 2010-03-04 Arne Hoell , Craig D. Roberts , Stewart V. Wright

Local conformal transformations are known as a useful tool in various applications of the gravitational theory, especially in cosmology. We describe some new aspects of these transformations, in particular using them for derivation of…

General Relativity and Quantum Cosmology · Physics 2023-06-05 D. F. Carneiro , E. A. Freiras , B. Gonçalves , A. G. de Lima , I. L. Shapiro

The general structure of trace anomaly, suggested recently by Deser and Shwimmer, is argued to be the consequence of the Wess-Zumino consistency condition. The response of partition function on a finite Weyl transformation, which is…

High Energy Physics - Theory · Physics 2010-11-01 D. R. Karakhanyan , R. P. Manvelyan , R. L. Mkrtchyan

Two forms of anomalies for chiral spinors living on submanifolds of the spacetime are obtained from the integrality theorem for immersions. The first form of the chiral anomaly is the usual for chiral spinors living on D-brane and O-plane…

High Energy Physics - Theory · Physics 2007-05-23 Juan Ospina

A perturbatively renormalized Abelian Higgs-Kibble model with a chirally coupled fermion is considered. The Slavnov identity is fulfilled to all orders of perturbation theory, which is crucial for renormalizability in models with vector…

High Energy Physics - Theory · Physics 2009-10-22 Thomas Portmann

We present evidence that there is a 4D model that satisfies the conditions of renormalizability and diffeomorphism invariance simultaneously at the 2-loop level. The traceless mode is treated perturbatively, while the conformal mode can be…

High Energy Physics - Theory · Physics 2009-10-31 Ken-ji Hamada
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