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Related papers: Trace anomaly of the conformal gauge field

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Paying attention to conformal invariance as the invariance under local transformations of units of measure, we take a conformal invariant quantum field as a quantum matter theory in which one has the freedom to choose the values of units of…

General Relativity and Quantum Cosmology · Physics 2017-05-17 Nadereh Namavarian

I describe a new method for computing trace anomalies in quantum field theories which makes use of path-integrals for particles moving in curved spaces. After presenting the main ideas of the method, I discuss how it is connected to the…

High Energy Physics - Theory · Physics 2010-11-01 Fiorenzo Bastianelli

The trace anomaly for a conformally invariant scalar field theory on a curved manifold of positive constant curvature with boundary is considered. In the context of a perturbative evaluation of the theory's effective action explicit…

High Energy Physics - Theory · Physics 2009-11-10 George Tsoupros

In the context of quantum field theory, an anomaly exists when a theory has a classical symmetry which is not a symmetry of the quantum theory. This short exposition aims at introducing a new point of view, which is that the proper setting…

High Energy Physics - Theory · Physics 2015-06-03 Ian G. Moss

We consider a gauge symmetry in a quantum Hilbert space. The symmetry leads to that of the heat-kernel and of the anomaly formulae which were previously obtained by the authors. This greatly simplifies and clarifies the structure of the…

High Energy Physics - Theory · Physics 2007-05-23 Shoichi Ichinose , Noriaki Ikeda

We establish a connection between the trace anomaly and a thermal radiation in the context of the standard cosmology. This is done by solving the covariant conservation equation of the stress tensor associated with a conformally invariant…

High Energy Physics - Theory · Physics 2009-11-10 Yousef Bisabr

We study the conformal symmetry and the energy-momentum conservation of scalar field interacting with a curved background at D=2. We avoid to incorporate the metric determinant into the measure of the scalar field to explain the conformal…

General Relativity and Quantum Cosmology · Physics 2015-06-25 M. Alves , J. Barcelos-Neto

The trace anomaly and anomaly-induced action are evaluated for the two-dimensional $2D$ vector theory with classical conformal symmetry. Implementing local conformal symmetry while preserving the gauge invariance requires either giving up…

High Energy Physics - Theory · Physics 2025-12-19 Samuel W. P. Oliveira , Ilya L. Shapiro

The majority of renormalizable field theories possessing the scale invariance at the classical level exhibits the trace anomaly once quantum corrections are taken into account. This leads to the breaking of scale and conformal invariance.…

High Energy Physics - Theory · Physics 2015-06-15 Roberta Armillis , Alexander Monin , Mikhail Shaposhnikov

We present a model in which the breackdown of conformal symmetry of a quantum stress-tensor due to the trace anomaly is related to a cosmological effect in a gravitational model. This is done by characterizing the traceless part of the…

High Energy Physics - Theory · Physics 2007-05-23 H. Salehi , Y. Bisabr

We discuss for some particular non supersymmetric theories a generalized symmetry that includes both the scale and axial transformations and leads to a single current that may contain also a pseudoscalar term. The method, inspired by the…

High Energy Physics - Phenomenology · Physics 2019-12-12 Renata Jora

The field-antifield quantization method is used to calculate the trace anomaly for a massless scalar field in a curved background, by means of the zeta function regularization procedure.

High Energy Physics - Theory · Physics 2008-11-26 J. Barcelos-Neto , N. R. F. Braga , S. M. de Souza

Using an unambiguous characterization of Trace Anomalies a general proof of matching for Type A and B anomalies in the broken phases of Conformal Field Theories is given. The general constraints on amplitudes of energy-momentum tensors and…

High Energy Physics - Theory · Physics 2024-12-24 Adam Schwimmer , Stefan Theisen

The structure of type A and B trace anomalies is reanalyzed in terms of the universal behaviour of dimension -2 invariant amplitudes. Based on it a general argument for trace anomaly matching between the unbroken and broken phases of a CFT…

High Energy Physics - Theory · Physics 2023-10-05 Adam Schwimmer , Stefan Theisen

We present a direct field theoretical calculation of the consistent gauge anomaly in the superfield formalism, on the basis of a definition of the effective action through the covariant gauge current. The scheme is conceptually and…

High Energy Physics - Theory · Physics 2009-10-31 Yoshihisa Ohshima , Kiyoshi Okuyama , Hiroshi Suzuki , Hirofumi Yasuta

The conformal anomaly (also known as the stress-energy trace anomaly) of an interacting quantum theory, associated with violation of Weyl (conformal) symmetry by quantum effects, can be amended if one endows the theory with a dilatation…

General Relativity and Quantum Cosmology · Physics 2017-09-04 Stefano Lucat , Tomislav Prokopec

In this paper we investigate the trace anomaly in a spacetime where single events are de-localized as a consequence of short distance quantum coordinate fluctuations. We obtain a modified form of heat kernel asymptotic expansion which does…

High Energy Physics - Theory · Physics 2008-11-26 Euro Spallucci , Anais Smailagic , Piero Nicolini

Exact relations between the QCD thermal pressure and the trace anomaly are derived. These are used, first, to prove the equivalence of the thermodynamic and the hydrodynamic pressure in equilibrium in the presence of the trace anomaly,…

High Energy Physics - Theory · Physics 2009-10-31 I T Drummond , R R Horgan , P V Landshoff , A Rebhan

We explore and discuss corrections to the Newton potential from the quantum effects of conformal matter fields. In this special case, one can compare different approaches, including that of effective quantum gravity and another, based on…

High Energy Physics - Theory · Physics 2026-05-08 Riccardo Fecchio , Ilya L. Shapiro

The 1-loop anomalies of a d-dimensional quantum field theory can be computed by evaluating the trace of the regulated path integral jacobian matrix, as shown by Fujikawa. In 1983, Alvarez-Gaum\'e and Witten observed that one can simplify…

High Energy Physics - Theory · Physics 2009-10-22 Fiorenzo Bastianelli , Peter van Nieuwenhuizen
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