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By considering scalar theories on the fuzzy sphere as matrix models, we construct a renormalization scheme and calculate the one-loop effective action. Because of UV-IR mixing, the two- and the four-point correlators at low energy are not…

High Energy Physics - Theory · Physics 2009-11-07 Sachindeo Vaidya

We discuss the influence of gravitational effects on the stabilization of the chromomagnetic vacuum. The one-loop effective potential for a covariantly constant SU(2) gauge field in ${\bf S}^2 \times {\bf R}^2$ and ${\bf T}^2 \times {\bf…

High Energy Physics - Theory · Physics 2009-09-17 Emilio Elizalde , Sergei D. Odintsov , August Romeo

The effective potential of quantized scalar field on fuzzy sphere is evaluated to the two-loop level. We see that one-loop potential behaves like that in the commutative sphere and the Coleman-Weinberg mechanism of the radiatively symmetry…

High Energy Physics - Theory · Physics 2009-11-07 Wung-Hong Huang

Using concepts from classical density functional theory (DFT) we investigate the freezing of a two-dimensional (2D) system of ultra-soft particles in a one-dimensional (1D) external potential; a phenomenon often called laser-induced…

Soft Condensed Matter · Physics 2020-02-05 Alexander Kraft , Sabine H. L. Klapp

We study in detail various aspects of the renormalization of the spin-1 resonance propagator in the effective field theory framework. First, we briefly review the formalisms for the description of spin-1 resonances in the path integral…

High Energy Physics - Phenomenology · Physics 2011-02-28 Karol Kampf , Jiri Novotny , Jaroslav Trnka

Recently, we have demonstrated that the problems finding a suitable adiabatic approximation in time-dependent one-body reduced density matrix functional theory can be remedied by introducing an additional degree of freedom to describe the…

Chemical Physics · Physics 2014-03-10 Klaas J. H. Giesbertz , Oleg V. Gritsenko , Evert Jan Baerends

In this paper we compute 1-loop corrections to the bispectrum in the decoupling limit of the Effective Field Theory of Inflation (EFToI). We regulate the divergences by employing dimensional regularization and work in $d=3+\delta$…

High Energy Physics - Theory · Physics 2024-10-11 Supritha Bhowmick , Diptimoy Ghosh , Farman Ullah

The inhomogeneous renormalization group equation for the effective potential is rederived. It is shown that when the effective potential is normalized by the normalization condition on the generating functional, its renormalization group…

High Energy Physics - Phenomenology · Physics 2015-09-15 H. I. Alrebdi , H. A. Alhendi , T. Barakat

We consider the problem of improving the effective potential in mass independent schemes, as e.g. the $\MSbar$ or $\DRbar$ renormalization scheme, in the presence of an arbitrary number of fields with $\phi$-dependent masses $M_i(\phi_c)$.…

High Energy Physics - Phenomenology · Physics 2009-10-31 J. A. Casas , V. Di Clemente , M. Quiros

We study the continuum version of the two-gap BCS model in (3+1)D within the large-N approximation. We calculate the effective potential of the model which depends on two independent energy gaps $\sigma$ and $\Delta$, where $\sigma$…

Superconductivity · Physics 2023-02-14 Leandro O. Nascimento

A recently proposed renormalization scheme can be used to deal with nonrelativistic potential scattering exhibiting ultraviolet divergence in momentum space. A numerical application of this scheme is made in the case of potential scattering…

High Energy Physics - Theory · Physics 2012-08-27 C. F. de Araujo, , L. Tomio , S. K. Adhikari , T. Frederico

Based on the classical limit of relativistic scattering amplitudes, we compute the coupling between a general super-renormalizable gravity and massive scalar particles. This allows us to derive the $D$-dimensional metric corrections at both…

High Energy Physics - Theory · Physics 2026-02-11 Haiyuan Feng , Rong-Jia Yang , Jinjun Zhang

We study the low-energy effective action $S_{eff}[\varphi]$ for the one-component real scalar field theory in three Euclidean dimensions in the symmetric phase, concentrating on its static part --- effective potential $V_{eff}(\varphi)$. It…

High Energy Physics - Lattice · Physics 2007-05-23 M. M. Tsypin

We perform a systematic analysis of the one-loop effective potential of pure $d=5$ supergravities, with supersymmetry fully broken by a Scherk-Schwarz compactification on the circle, as a function of the radial modulus. We discuss the…

High Energy Physics - Theory · Physics 2024-07-22 Gianguido Dall'Agata , Fabio Zwirner

A new scheme for the numerical evaluation of the one-loop self-energy correction to all orders in Z \alpha is presented. The scheme proposed inherits the attractive features of the standard potential-expansion method but yields a…

Atomic Physics · Physics 2009-11-11 Vladimir A. Yerokhin , Krzysztof Pachucki , Vladimir M. Shabaev

False vacuum decay, a quantum mechanical first-order phase transition in scalar field theories, is an important phenomenon in early universe cosmology. Recently, real-time semi-classical techniques based on ensembles of lattice simulations…

High Energy Physics - Theory · Physics 2023-04-26 Jonathan Braden , Matthew C. Johnson , Hiranya V. Peiris , Andrew Pontzen , Silke Weinfurtner

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…

High Energy Physics - Theory · Physics 2014-11-21 Wu-Sheng Dai , Mi Xie

The behavior of the self diffusion constant of Langevin particles interacting via a pairwise interaction is considered. The diffusion constant is calculated approximately within a perturbation theory in the potential strength about the bare…

Soft Condensed Matter · Physics 2009-11-10 D. S. Dean , A. Lefèvre

We discuss general one and two-loop banana diagrams and one-loop diagrams with external lines with arbitrary masses on the anti de Sitter spacetime by using methods of AdS quantum field theory in the dimensional regularization approach. The…

High Energy Physics - Theory · Physics 2024-06-25 Sergio L. Cacciatori , Henri Epstein , Ugo Moschella

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