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We show that the anomalous dimension $\gamma_G$ of the scalar glueball operator contains information on the mechanism that leads to the onset of conformality at the lower edge of the conformal window in a non-Abelian gauge theory. In…

High Energy Physics - Theory · Physics 2018-02-28 Tiago Nunes da Silva , Elisabetta Pallante , Lasse Robroek

In this note we do the analysis of entanglement entropy more carefully when the non-conformal theory flows to a non-trivial IR fixed point. In particular we emphasize the role of the trace of the energy-momentum tensor in these…

High Energy Physics - Theory · Physics 2014-07-02 Shamik Banerjee

We consider nonanticommutative SYM theories with chiral matter in the adjoint representation of the SU(N) x U(1) gauge group. In a superspace setup and manifest background covariant approach we investigate the one-loop renormalization of…

High Energy Physics - Theory · Physics 2009-04-02 Silvia Penati , Alberto Romagnoni , Massimo Siani

In this paper a loophole in the SU(2) gauge anomaly is presented. It is shown that using several topological tools a theory can be designed that implements the quantization of a single Weyl doublet anomaly free while keeping the non-abelian…

General Physics · Physics 2017-10-23 Andrei Patrascu

For a general $\lambda$-deformation of current algebra CFTs we compute the exact Weyl anomaly coefficient and the corresponding metric in the couplings space geometry. By incorporating the exact $\beta$-function found in previous works we…

High Energy Physics - Theory · Physics 2018-12-05 Eftychia Sagkrioti , Konstantinos Sfetsos , Konstantinos Siampos

Due to the incompatibility of the nonlinear realization of superconformal symmetry and dilatation symmetry with the dilaton as the compensator field, in the present paper it shows an alternative mechanism of spontaneous breaking the N=2…

High Energy Physics - Theory · Physics 2009-08-05 Lu-Xin Liu

We make two remarks: (i) Renormalization of the effective charge in a 4--dimensional (supersymmetric) gauge theory is determined by the same graphs and is rigidly connected to the renormalization of the metric on the moduli space of the…

High Energy Physics - Theory · Physics 2016-09-06 E. T. Akhmedov , A. V. Smilga

We derive maps relating currents and their divergences in non-abelian U(N) noncommutative gauge theory with the corresponding expressions in the ordinary (commutative) description. For the U(1) theory, in the slowly-varying-field…

High Energy Physics - Theory · Physics 2007-05-23 Rabin Banerjee , Kuldeep Kumar

We consider N=1 supersymmetric gauge theories in which the couplings are allowed to be space-time dependent functions. Both the gauge and the superpotential couplings become chiral superfields. As has recently been shown, a new topological…

High Energy Physics - Theory · Physics 2010-02-03 James Babington , Johanna Erdmenger

We study the renormalization group flow equations for correlation functions of weakly coupled quantum field theories in AdS. Taking the limit where the external points approach the conformal boundary, we obtain a flow of conformally…

High Energy Physics - Theory · Physics 2022-09-27 Markus B. Fröb

We discuss the calculation of the 1-loop effective action on four dimensional, canonically deformed Euclidean space. The theory under consideration is a scalar $\phi^4$ model with an additional oscillator potential. This model is known to…

High Energy Physics - Theory · Physics 2008-11-26 Michael Wohlgenannt

We show that the Wess-Zumino action for the spontaneously broken Weyl (or conformal) symmetry, a.k.a dilaton effective action, in even $D$ dimensions can be obtained from the Kaluza-Klein dimensional reduction of the Lovelock action in…

High Energy Physics - Theory · Physics 2022-06-15 Minoru Matsumoto , Yu Nakayama

The Anomaly flow is a flow which implements the Green-Schwarz anomaly cancellation mechanism originating from superstring theory, while preserving the conformally balanced condition of Hermitian metrics. There are several versions of the…

Differential Geometry · Mathematics 2018-03-14 Duong H. Phong , Sebastien Picard , Xiangwen Zhang

We use the method of Weyl-gauging in the determination of the Wess-Zumino conformal anomaly action, to show that in any even ($d = 2 k$) dimensions all the hierarchy of correlation functions involving traces of the energy-momentum tensor is…

High Energy Physics - Theory · Physics 2015-06-16 Claudio Coriano , Luigi Delle Rose , Carlo Marzo , Mirko Serino

Rotationally symmetric bodies with longitudinal cross sections of parabolic shape are frequently used to model astrophysical objects, such as magnetospheres and other blunt objects, immersed in interplanetary or interstellar gas or plasma…

Solar and Stellar Astrophysics · Physics 2024-11-07 Jens Kleimann , Christian Röken

The anomalous dimensions of operators in the purely gluonic SU(2,1|2) sector of any planar conformal N=2 theory can be read off from the N=4 SYM results by replacing the N=4 coupling constant by an interpolating function of the N=2 coupling…

High Energy Physics - Theory · Physics 2016-01-06 Vladimir Mitev , Elli Pomoni

The backreaction of a conformal matter sector and its associated conformal anomaly on gravity can be systematically studied using the formalism of the anomaly effective action. This action, defined precisely in flat spacetime within…

Cosmology and Nongalactic Astrophysics · Physics 2024-09-27 Claudio Corianò , Stefano Lionetti , Dario Melle , Riccardo Tommasi , Leonardo Torcellini

We discuss the vacuum structure of the SU(6) model, a chiral gauge theory, from the perspective of anomaly matching. To this end, we first identify all possible 't Hooft anomalies in the UV theory using the Stora-Zumino procedure.…

High Energy Physics - Lattice · Physics 2025-01-31 Tetsuya Onogi , Hiroki Wada , Tatsuya Yamaoka

In ${\cal N}=1$ supersymmetric QCD-like theories we derive the (all-order) exact equations relating the renormalization group behaviour of the strong and electromagnetic couplings and prove that they are valid in the HD+MSL renormalization…

High Energy Physics - Theory · Physics 2025-03-04 A. L. Kataev , K. V. Stepanyantz

Gravity and general relativity are considered as an Effective Field Theory at low energies and macroscopic distances. The effective action of the conformal anomaly of light or massless quantum fields has significant effects on macroscopic…

High Energy Physics - Theory · Physics 2023-02-20 Emil Mottola
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