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We study the effective interactions of external electromagnetic fields induced by fluctuations of virtual particles in the vacuum of quantum electrodynamics. Our main focus is on these interactions at two-loop order. We discuss in detail…

高能物理 - 理论 · 物理学 2022-06-02 Holger Gies , Felix Karbstein

We describe a general framework to depict the space of Lorentz invariant effective field theories, which we call the landscape, given any kind of gauge symmetry and field content. Various operator bases in the landscape can be…

高能物理 - 唯象学 · 物理学 2020-12-23 Hao-Lin Li , Jing Shu , Ming-Lei Xiao , Jiang-Hao Yu

We consider a family of $\kappa$-Poincar\'e invariant scalar field theories on 4-d $\kappa$-Minkowski space with quartic orientable interaction, that is for which $\phi$ and its conjugate $\phi^\dag$ alternate in the quartic interaction,…

高能物理 - 理论 · 物理学 2019-01-15 Timothé Poulain , Jean-Christophe Wallet

We study some aspects of low-energy effective actions in 4-d superconformal gauge theories on the Coulomb branch. We describe superconformal invariants constructed in terms of N=2 abelian vector multiplet which play the role of building…

高能物理 - 理论 · 物理学 2009-09-17 I. L. Buchbinder , S. M. Kuzenko , A. A. Tseytlin

We study the one-loop effective action for $6D,$ ${\cal N}=(1,0)$ supersymmetric Yang--Mills (SYM) theory with hypermultiplets and $6D,$ ${\cal N}=(1,1)$ SYM theory as a subclass of the former, using the off-shell formulation of these…

高能物理 - 理论 · 物理学 2017-06-28 I. L. Buchbinder , E. A. Ivanov , B. S. Merzlikin , K. V. Stepanyantz

In this paper we study differential forms and vector fields on the orbit space of a proper action of a Lie group on a smooth manifold, defining them as multilinear maps on the generators of infinitesimal diffeomorphisms, respectively. This…

微分几何 · 数学 2021-08-03 Larry Bates , Richard Cushman , Jędrzej Śniatycki

We study pure noncommutative U(1) gauge theory representing its one-loop effective action in terms of a phase space worldline path integral. We write the quadratic action using the background field method to keep explicit gauge invariance,…

高能物理 - 理论 · 物理学 2015-11-26 Naser Ahmadiniaz , Olindo Corradini , Daniela D'Ascanio , Sendic Estrada-Jimenez , Pablo Pisani

Higher order coefficients of the inverse mass expansion of one-loop effective actions are obtained from a one-dimensional path integral representation. For the case of a massive scalar loop in the background of both a scalar potential and a…

高能物理 - 理论 · 物理学 2009-10-30 D. Fliegner , P. Haberl , M. G. Schmidt , C. Schubert

This paper applies $\zeta$-function regularization to evaluate the 1-loop effective action for scalar field theories and Euclidean Maxwell theory in the presence of boundaries. After a comparison of two techniques developed in the recent…

高能物理 - 理论 · 物理学 2009-10-30 Giampiero Esposito , Alexander Yu. Kamenshchik , Giuseppe Pollifrone

We compute the divergent contributions to the one-loop action of the U(1) Abelian Higgs model. The calculation allows for a Friedmann-Lemaitre-Robertson-Walker space-time and a time-dependent expectation value for the scalar field. Treating…

高能物理 - 理论 · 物理学 2015-06-05 Damien P. George , Sander Mooij , Marieke Postma

In modified gravity, the one-loop matter power spectrum exhibits an ultraviolet divergence as shown in the framework of the degenerate higher-order scalar-tensor theory. To address this problem, we extend the effective field theory of large…

广义相对论与量子宇宙学 · 物理学 2022-10-04 Shin'ichi Hirano , Tomohiro Fujita

It is shown how operator regularization can be used to obtain an expansion of the effective action in powers of derivatives of the background field. This is applied to massless scalar electrodynamics to find the one-loop corrections to the…

高能物理 - 理论 · 物理学 2007-05-23 D. G. C. McKeon

We study one-loop low-energy effective action in the hypermultiplet sector for ${\cal N}=2$ superconformal models. Any such a model contains ${\cal N}=2$ vector multiplet and some number of hypermultiplets. Gauge group $G$ is assumed to be…

高能物理 - 理论 · 物理学 2010-10-27 I. L. Buchbinder N. G. Pletnev

The one-loop effective action for a massive self-interacting scalar field is investigated in $4$-dimensional ultrastatic space-time $ R \times H^3/\Gamma$, $H^3/\Gamma$ being a non-compact hyperbolic manifold with finite volume. Making use…

高能物理 - 理论 · 物理学 2009-10-30 A. A. Bytsenko , Guido Cognola , Sergio Zerbini

In the $\mathcal{N}=2$, $d=3$ superspace, we consider a higher-derivative generalization of the supersymmetric quantum electrodynamics, where the higher-derivative operator is a polynomial function of the d'Alembertian with arbitrary…

高能物理 - 理论 · 物理学 2023-06-13 F. S. Gama

In the "pure connection" formulation General Relativity becomes a particular diffeomorphism invariant SL(2) gauge theory. Using this formalism, we compute the divergent contributions to the gravitational one-loop effective action.…

高能物理 - 理论 · 物理学 2015-06-15 Kai Groh , Kirill Krasnov , Christian F. Steinwachs

We study the bispectrum in the Effective Field Theory of Large Scale Structure, consistently accounting for the effects of short-scale dynamics. We begin by proving that, as long as the theory is perturbative, it can be formulated to…

宇宙学与河外天体物理 · 物理学 2015-05-20 Tobias Baldauf , Lorenzo Mercolli , Mehrdad Mirbabayi , Enrico Pajer

In this article we study the action of the one loop dilatation operator on operators with a classical dimension of order N. These operators belong to the su(2) sector and are constructed using two complex fields Y and Z. For these operators…

高能物理 - 理论 · 物理学 2015-06-18 Robert de Mello Koch , Stuart Graham , Ilies Messamah

We study the one-loop low-energy effective action for the higher-derivative superfield gauge theory coupled to a chiral matter.

高能物理 - 理论 · 物理学 2011-08-12 F. S. Gama , M. Gomes , J. R. Nascimento , A. Yu. Petrov , A. J. da Silva

We provide a worldline representation of the one-loop effective action for a Dirac particle coupled to external scalar, pseudoscalar, vector and axialvector fields. Extending previous work by two of the authors on the pure…

高能物理 - 理论 · 物理学 2024-07-01 F. Bastianelli , O. Corradini , J. P. Edwards , D. G. C. McKeon , C. Schubert