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We calculate the covariant one-loop quantum gravitational effective action for a scalar field model inspired by the recently proposed nonminimal natural inflation model. Our calculation is perturbative, in the sense that the effective…

广义相对论与量子宇宙学 · 物理学 2020-06-11 Sandeep Aashish , Sukanta Panda

We study quantum corrections to the scalar potential in classically scale invariant theories, using a manifestly scale invariant regularization. To this purpose, the subtraction scale $\mu$ of the dimensional regularization is generated…

高能物理 - 唯象学 · 物理学 2016-05-19 D. M. Ghilencea

We derive the one-loop effective action for scalar, pseudoscalar, and electromagnetic fields coupled to a Dirac fermion in an extension of QED with Yukawa couplings. Using the Schwinger proper-time formalism and zeta-function…

高能物理 - 理论 · 物理学 2018-09-20 Theodore N. Jacobson , Tonnis ter Veldhuis

We present a simple derivation of the supersymmetric one-loop effective action of SU(2) Matrix theory by expressing it in a compact exponential form whose invariance under supersymmetry transformations is obvious. This result clarifies the…

高能物理 - 理论 · 物理学 2009-10-31 Hermann Nicolai , Jan Plefka

We use the heat kernel in order to compute the one-loop effective action on a classicalon background. We find that the UV divergences are suppressed relative to the predictions of standard perturbation theory in the interior of the…

高能物理 - 理论 · 物理学 2015-06-23 Petros Asimakis , Nikolaos Brouzakis , Aris Katsis , Nikolaos Tetradis

We consider continuum-formulation QCD in four dimensions with twelve massless fundamental quark flavors. Splitting the SU(\(N\)) gauge field into background and fluctuation parts, we use well-developed techniques to calculate the one-loop…

高能物理 - 理论 · 物理学 2025-03-05 Seth Grable , Paul Romatschke

We assume that the noncommutativity starts to be visible continuously from a scale $\Lambda_{NC}$. According to this assumption, a two-loop effective action is derived for noncommutative $\phi^{4}$ and $\phi^{3}$ theories from a Wilsonian…

高能物理 - 理论 · 物理学 2008-11-26 B. Mirza , M. Zarei

We analyse the singular behaviour of one-loop integrals and scattering amplitudes in the framework of the loop--tree duality approach. We show that there is a partial cancellation of singularities at the loop integrand level among the…

高能物理 - 唯象学 · 物理学 2015-06-19 Sebastian Buchta , Grigorios Chachamis , Petros Draggiotis , Ioannis Malamos , German Rodrigo

Tunnelling between degenerate vacuua is allowed in finite-volume Quantum Field Theory, and features remarkable energetic properties, which result from the competition of different dominant configurations in the partition function. We derive…

高能物理 - 理论 · 物理学 2022-06-01 Jean Alexandre , Drew Backhouse

We investigate the one-loop corrections at zero, as well as finite temperature, of a scalar field taking place in a braneworld motived warped background. After to reach a well defined problem, we calculate the effective action with the…

高能物理 - 理论 · 物理学 2015-11-18 J. M. Hoff da Silva , E. L. Mendonça , E. Scatena

The classical and quantum aspects of planar Coulomb interactions have been studied in detail. In the classical scenario, Action Angle Variables are introduced to handle relativistic corrections, in the scheme of time-independent…

高能物理 - 理论 · 物理学 2009-10-30 Subir Ghosh

We calculate one-loop quantum energies in a renormalizable self-interacting theory in one spatial dimension by summing the zero-point energies of small oscillations around a classical field configuration, which need not be a solution of the…

高能物理 - 理论 · 物理学 2009-10-31 N. Graham , R. L. Jaffe

We derive the quantum effective action up to second order in gradients and up to two-loop order for an interacting scalar field theory. This expansion of the effective action is useful to study problems in cosmological settings where…

高能物理 - 理论 · 物理学 2024-09-17 Sofia Canevarolo , Tomislav Prokopec

We consider a theory of scalar QED on a spatially compact 1+1-dimensional spacetime. By considering a constant electric field pointing down the compact dimension, we compute the quantum effective action by integrating out the scalar degrees…

高能物理 - 理论 · 物理学 2021-06-29 Prasant Samantray , Suprit Singh

In this paper, we provide an approach for the calculation of one-loop effective actions, vacuum energies, and spectral counting functions and discuss the application of this approach in some physical problems. Concretely, we construct the…

高能物理 - 理论 · 物理学 2014-11-21 Wu-Sheng Dai , Mi Xie

The field-theoretic one-loop effective action in a static scalar background depending nontrivially on a single spatial coordinate is related, in the proper-time formalism, to the trace of the evolution kernel (or heat kernel) for an…

高能物理 - 理论 · 物理学 2009-11-07 Chanju Kim , O-Kab Kwon , Choonkyu Lee

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 present a remarkable connection between the asymptotic behavior of the Riemann zeros and one-loop effective action in Euclidean scalar field theory. We show that in a two-dimensional space, the asymptotic behavior of the Fourier…

数学物理 · 物理学 2015-06-19 J. G. Dueñas , N. F. Svaiter , G. Menezes

In this paper we apply the usual perturbative methodology to evaluate the one-loop effective potential in a nonlocal scalar field theory. We find that the effect induced by the nonlocaliity of the theory is always very small and we discuss…

广义相对论与量子宇宙学 · 物理学 2015-11-18 F. Briscese , E. R. Bezerra de Mello , A. Yu. Petrov , V. B. Bezerra

The effect of quantum corrections to a conformally invariant field theory for a self-interacting scalar field on a curved manifold with boundary is considered. The analysis is most easily performed in a space of constant curvature the…

高能物理 - 理论 · 物理学 2009-10-31 George Tsoupros