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We investigate the one-loop effective action for a test scalar field in a general Friedmann-Lema\^itre-Robertson-Walker (FLRW) background, specifically focusing on quantum corrections up to the second order in the interaction strength. By…

General Relativity and Quantum Cosmology · Physics 2026-02-02 Will Cerne , Teruaki Suyama

We conclude the rigorous analysis of a previous paper concerning the relation between the (Euclidean) point-splitting approach and the local $\zeta$-function procedure to renormalize physical quantities at one-loop in (Euclidean) QFT in…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Valter Moretti

We present a renormalized computational framework for the evolution of a self-interacting scalar field (inflaton) and its quantum fluctuations in an FRW background geometry. We include a coupling of the field to the Ricci scalar with a…

High Energy Physics - Phenomenology · Physics 2009-10-31 J. Baacke , C. Patzold

For supersymmetric gauge theories a consistent regularization scheme that preserves supersymmetry and gauge invariance is not known. In this article we tackle this problem for supersymmetric QED within the framework of algebraic…

High Energy Physics - Phenomenology · Physics 2011-09-13 W. Hollik , E. Kraus , D. Stöckinger

We study the Yukawa model with one scalar and one axial scalar fields, coupled to $N$ copies of Dirac fermions, in curved spacetime background. The theory possesses a reach set of coupling constants, including the scalar terms with odd…

High Energy Physics - Theory · Physics 2019-10-15 Iosif L. Buchbinder , Andreza Rairis Rodrigues , Eduardo Antonio dos Reis , Ilya L. Shapiro

An effective description of an initial state is a method for representing the signatures of new physics in the short-distance structure of a quantum state. The expectation value of the energy-momentum tensor for a field in such a state…

High Energy Physics - Theory · Physics 2008-11-26 Hael Collins , R. Holman

It is well known that single real scalar field does not allow gauge coupling to the Abelian vector field. Using the complex scalar model as a starting point, we construct the Abelian gauge model with two real scalars. The gauge…

General Physics · Physics 2025-12-04 Lucas Ducastelo de C. C. Lima , Ilya L. Shapiro

We consider the renormalization of the one-loop effective action for the Yukawa interaction. We compute the beta functions in the generalized DeWitt-Schwinger subtraction scheme. For the quantized scalar field we obtain that all the beta…

General Relativity and Quantum Cosmology · Physics 2021-10-27 Sergi Nadal-Gisbert , Antonio Ferreiro , José Navarro-Salas

We study the renormalized energy-momentum tensor of gravitons in a de Sitter space-time. After canonically quantizing only the physical degrees of freedom, we adopt the standard adiabatic subtraction used for massless minimally coupled…

General Relativity and Quantum Cosmology · Physics 2008-11-26 F. Finelli , G. Marozzi , G. P. Vacca , G. Venturi

The approximation of the renormalized stress-energy tensor of the quantized massive scalar, spinor, and vector field in the Reissner- Nordstrom spacetime is constructed. It is achieved by functional differentiation of the lowest order of…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Jerzy Matyjasek

While he derived the equation for the radiation force, Dirac (1938) mentioned a possibility to use different choices for the 4-momentum of an emitting electron. Particularly, the 4-momentum could be non-colinear to the electron 4-velocity.…

Classical Physics · Physics 2015-05-13 Igor V. Sokolov

We develop a time-dependent real-space renormalization-group approach which can be applied to Hamiltonians with time-dependent random terms. To illustrate the renormalization-group analysis, we focus on the quantum Ising Hamiltonian with…

Disordered Systems and Neural Networks · Physics 2019-01-30 Peter Mason , Alexandre Zagoskin , Joseph Betouras

We study the renormalization of dimension four composite operators and the energy-momentum tensor in noncommutative complex scalar field theory. The proper operator basis is defined and it is proved that the bare composite operators are…

High Energy Physics - Theory · Physics 2010-04-05 S. Bellucci , I. L. Buchbinder , V. A. Krykhtin

We argue that a scalar field in de Sitter spacetime should feel explicit thermal effects associated with its curvature. Starting from the Bunch-Davies vacuum and a scalar field with small mass compared to the de Sitter curvature, we use the…

High Energy Physics - Theory · Physics 2025-12-08 Nikos Irges , Antonis Kalogirou , Fotis Koutroulis

We renormalize the divergences in the energy-momentum tensor of a scalar field that begins its evolution in an effective initial state. The effective initial state is a formalism that encodes the signatures of new physics in the structure…

High Energy Physics - Theory · Physics 2007-05-23 Hael Collins , R. Holman

The ``magnetic force theorem'' is frequently used to compute exchange interaction parameters and adiabatic spin-wave spectra of ferromagnets. The interest of this approach is that it allows to obtain these results from a non-self-consistent…

Strongly Correlated Electrons · Physics 2009-11-07 P. Bruno

Explicit divergences and counterterms do not appear in the differential renormalization method, but they are concealed in the neglected surface terms in the formal partial integration procedure used. A systematic real space cutoff procedure…

High Energy Physics - Theory · Physics 2009-10-08 D. Z. Freedman , K. Johnson , R. Munoz-Tapia , X. Vilasis-Cardona

We develop a coordinate space renormalization of massless Quantum Electrodynamics using the powerful method of differential renormalization. Bare one-loop amplitudes are finite at non-coincident external points, but do not accept a Fourier…

High Energy Physics - Phenomenology · Physics 2009-10-22 Peter E. Haagensen , Jose I. Latorre

The renormalized mean value of the quantum Lagrangian and the Energy-Momentum tensor for scalar fields coupled to an arbitrary gravitational field configuration are analytically evaluated in the Schwinger-DeWitt approximation, up to second…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Owen Pavel Fernandez Piedra , Alejandro Cabo Montes de Oca

We define the renormalization group flow for a renormalizable interacting quantum field in curved spacetime via its behavior under scaling of the spacetime metric, $\g \to \lambda^2 \g$. We consider explicitly the case of a scalar field,…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Stefan Hollands , Robert M. Wald