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Related papers: One loop divergences and anomalies from chiral sup…

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We show that, for standard N=1 supergravity coupled to chiral matter, if the Kahler potential has no terms linear in chiral superfields then none are generated through quad. div. one--loop corrections. If however <V>=0 and susy is…

High Energy Physics - Phenomenology · Physics 2011-07-19 Vidyut Jain

In a theory of a Dirac fermion field coupled to a metric-axial-tensor (MAT) background, using a Schwinger-DeWitt heat kernel technique, we compute non-perturbatively the two (odd parity) trace anomalies. A suitable collapsing limit of this…

High Energy Physics - Theory · Physics 2018-09-26 L. Bonora , M. Cvitan , P. Dominis Prester , S. Giaccari , M. Paulisic , T. Stemberga

We obtain the one-loop quantum corrections to the K\"ahlerian and superpotentials in the generic chiral superfield model on the nonanticommutative superspace. Unlike all previous works, we use a method which does not require to rewrite a…

High Energy Physics - Theory · Physics 2008-11-26 O. D. Azorkina , A. T. Banin , I. L. Buchbinder , N. G. Pletnev

It is shown that the one-loop coefficients of on-shell operators of standard supergravity with canonical gauge kinetic energy can be regulated by the introduction of Pauli-Villars chiral and abelian gauge multiplets, subject to a condition…

High Energy Physics - Theory · Physics 2014-11-18 Mary K. Gaillard

The hidden sector of heterotic $M$-theory vacua whose gauge bundle contains an anomalous $U(1)$ factor is discussed in detail. The mathematical formalism for computing the inhomogeneous transformation of the dilaton and K\"ahler moduli…

High Energy Physics - Theory · Physics 2021-10-15 Sebastian Dumitru , Burt A. Ovrut

We shall develop a general technique to obtain the super heat kernel coefficients of an arbitrary second order operator in $N=1$ superspace. We focus on the space of conformal supergravity here but the method presented is equally applicable…

High Energy Physics - Theory · Physics 2019-09-25 Ka-Hei Leung

We apply the heat kernel method to relations between covariant and consistent currents in anomalous chiral gauge theories. Banerjee et al. have shown that the relation between these currents is expressed by a "functional curl" of the…

High Energy Physics - Theory · Physics 2019-12-06 Masaharu Takeuchi , Ryusuke Endo

On-shell Pauli-Villars regularization of the one-loop divergences of supergravity theories is used to study the anomaly structure of supergravity and the cancellation of field theory anomalies under a $U(1)$ gauge transformation and under…

High Energy Physics - Theory · Physics 2015-06-23 Daniel Butter , Mary K. Gaillard

We consider, in the harmonic superspace approach, the six-dimensional N=(1,0) supersymmetric model of abelian gauge multiplet coupled to a hypermultiplet. The superficial degree of divergence is evaluated and the structure of possible…

High Energy Physics - Theory · Physics 2016-12-21 I. L. Buchbinder , E. A. Ivanov , B. S. Merzlikin , K. V. Stepanyantz

There are indications that some theories with spontaneous symmetry breaking also feature a light scalar in their spectrum, with a mass comparable to the one of the Goldstone modes. In this paper, we perform the one-loop renormalization of a…

High Energy Physics - Phenomenology · Physics 2020-03-18 Oscar Cata , Christoph Mueller

Heat kernel methods are useful for studying properties of quantum gravity. We recompute here the first three heat kernel coefficients in perturbative quantum gravity with cosmological constant to ascertain which ones are correctly reported…

High Energy Physics - Theory · Physics 2023-01-04 Fiorenzo Bastianelli , Roberto Bonezzi , Marco Melis

The heat kernel for the spin-3/2 Rarita-Schwinger gauge field on an arbitrary Ricci flat space-time ($d>2$) is investigated in a family of covariant gauges with one gauge parameter $\alpha$. The $\alpha$-dependent term of the kernel is…

High Energy Physics - Theory · Physics 2010-04-06 Ryusuke Endo

We develop a new heat kernel method that is suited for a systematic study of the renormalization group flow in Horava gravity (and in Lifshitz field theories in general). This method maintains covariance at all stages of the calculation,…

High Energy Physics - Theory · Physics 2021-04-26 Kevin T. Grosvenor , Charles Melby-Thompson , Ziqi Yan

The heat kernel method is extended to the case of finite temperature. Special emphasis is given to the study of gauge theories. Due to the compactness of space in the Euclidean time direction (inverse temperature) the field strength cannot…

High Energy Physics - Theory · Physics 2007-05-23 Stefan Leupold

We revise the calculation of the one-loop effective action for scalar and spinor fields coupled to the dilaton in two dimensions. Applying the method of covariant perturbation theory for the heat kernel we derive the effective action in an…

High Energy Physics - Theory · Physics 2016-09-06 Yu. V. Gusev , A. I. Zelnikov

We give a review of the one-loop divergences in higher derivative gravity theories. We first make the bilinear expansion in the quantum fluctuation on arbitrary backgrounds, introduce a higher-derivative gauge fixing and show that…

High Energy Physics - Theory · Physics 2023-09-26 Nobuyoshi Ohta

We study effects associated with the chiral anomaly for a cascading $SU(N+M)\times SU(N)$ gauge theory using gauge/gravity duality. In the gravity dual the anomaly is a classical feature of the supergravity solution, and the breaking of the…

High Energy Physics - Theory · Physics 2010-04-07 Igor R. Klebanov , Peter Ouyang , Edward Witten

We present an on-shell formulation of 5d gauged supergravity coupled to chiral matter multiplets localized at the orbifold fixed points. The brane action is constructed via the Noether method. In such set-up we compute one-loop corrections…

High Energy Physics - Theory · Physics 2009-11-11 Adam Falkowski

We employ the covariant background formalism to derive generic expressions for the one-loop effective action in field theoretic orbifold compactifications. The contribution of each orbifold sector is given by the effective action of its…

High Energy Physics - Theory · Physics 2014-11-18 Gero von Gersdorff

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