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We give an overview of the issue of anomalies in field theories with extra dimensions. We start by reviewing in a pedagogical way the computation of the standard perturbative gauge and gravitational anomalies on non-compact spaces, using…

High Energy Physics - Theory · Physics 2009-11-10 C. A. Scrucca , M. Serone

We discuss the quantization of theories which are formulated using compensating fields. In particular, we discuss the relation between the components formulation and the superspace formulation of supergravity theories. The requirement that…

High Energy Physics - Theory · Physics 2009-10-22 Yigal Shamir

We study systematically finite BRST- BV transformations in the field-antifield formalism. We present explicitly their Jacobians and the form of a solution to the compensation equation determining the functional field dependence of finite…

High Energy Physics - Theory · Physics 2015-06-19 Igor A. Batalin , Peter M. Lavrov , Igor V. Tyutin

We show that matching anomalies under large gauge transformations and large diffeomorphisms can explain the appearance and non-renormalization of couplings in effective field theory. We focus on thermal effective field theory where we argue…

High Energy Physics - Theory · Physics 2015-12-15 Siavash Golkar , Savdeep Sethi

We calculate the leading radiative corrections to the axial current in the chiral separation effect in dense QED in a magnetic field. Contrary to the conventional wisdom suggesting that the axial current should be exactly fixed by the…

High Energy Physics - Phenomenology · Physics 2013-07-31 E. V. Gorbar , V. A. Miransky , I. A. Shovkovy , Xinyang Wang

We construct the three point function involving an axial vector current and two energy-momentum tensors for four dimensional conformal field theories. Conformal symmetry determines the form of this three point function uniquely up to a…

High Energy Physics - Theory · Physics 2009-10-31 Johanna Erdmenger

Quantum anomalies give rise to novel transport phenomena, including the generation of a current in a relativistic fluid due to the presence of magnetic field or vorticity. We present an exclusive and direct computation of the chiral anomaly…

High Energy Physics - Theory · Physics 2025-07-04 Rémy Larue , Jérémie Quevillon , Diego Saviot

A systematic study of chiral effects is presented using an Effective Field Theory framework. By integrating out a massive Dirac fermion at finite temperature in presence of vector and axial background fields, the currents and their…

High Energy Physics - Theory · Physics 2026-05-18 Rémy Larue , Amaury Marchon , Jérémie Quevillon , Diego Saviot

We discuss the so called gauge invariant quantization of anomalous gauge field theory, originally due to Faddeev and Shatashvili. It is pointed out that the further non invariance of relevant path integral measures poses a problem when one…

High Energy Physics - Theory · Physics 2007-05-23 M. Martellini , M. Spreafico , K. Yoshida

In the framework of gauge invariant approach involving Stueckelberg and auxiliary fields, totally symmetric arbitrary spin anomalous conformal current and shadow field in flat space-time of dimension greater than or equal to four are…

High Energy Physics - Theory · Physics 2013-05-30 R. R. Metsaev

We show that three-dimensional trace anomalies lead to new universal anomalous transport effects on a conformally-flat spacetime with background scalar fields. In contrast to conventional anomalous transports in quantum chromodynamics (QCD)…

High Energy Physics - Theory · Physics 2020-09-01 Mamiya Kawaguchi , Ken Kikuchi

We study the excitation of the electric current of chiral fermions along the external magnetic field, known as the chiral magnetic effect, in the presence of the background axial-vector field. The calculation of the current is based on the…

High Energy Physics - Phenomenology · Physics 2018-08-22 Maxim Dvornikov

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

Our goal is to examine the role of anomalies in the hydrodynamic regime of field theories. We employ methods based on gauge/gravity duality to examine R-charge anomalies in the hydrodynamic regime of stronly t'Hooft coupled, large N, N = 4…

High Energy Physics - Phenomenology · Physics 2009-11-11 G. M. Newman

Anomaly, a generic feature of relativistic quantum field theory, is shown to be present in non-relativistic classical ideal fluid. A new result is the presence of anomalous terms in current algebra, an obvious analogue of Schwinger terms…

High Energy Physics - Theory · Physics 2022-08-02 Arpan Krishna Mitra , Subir Ghosh

We present an analysis of currents and charges for a system of two mixed fields, both for spinless bosons and for Dirac fermions. This allows us to obtain in a straightforward way the exact field theoretical oscillation formulas exhibiting…

High Energy Physics - Theory · Physics 2009-11-07 Massimo Blasone , Petr Jizba , Giuseppe Vitiello

We introduce a new formalism to study nonequilibrium steady-state currents in stochastic field theories. We show that generalizing the exterior derivative to functional spaces allows identifying the subspaces in which the system undergoes…

Statistical Mechanics · Physics 2022-09-30 Jérémy O'Byrne

A procedure for reducing the functional integral of QED to an integral over bosonic gauge invariant fields is presented. Next, a certain averaging method for this integral, giving a tractable effective quantum field theory, is proposed.…

High Energy Physics - Theory · Physics 2007-05-23 J. Kijowski , G. Rudolph , M. Rudolph

Conformal low-spin anomalous currents and shadow fields in flat space-time of dimension greater than or equal to four are studied. Gauge invariant formulation for such currents and shadow fields is developed. Gauge symmetries are realized…

High Energy Physics - Theory · Physics 2011-05-19 R. R. Metsaev

We argue that an effective field theory of local fluid elements captures the constraints on hydrodynamic transport stemming from the presence of quantum anomalies in the underlying microscopic theory. Focussing on global current anomalies…

High Energy Physics - Theory · Physics 2015-06-18 Felix M. Haehl , R. Loganayagam , Mukund Rangamani