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We study the UV properties, and derive the explicit form of the one-loop effective action, for a noncommutative complex scalar field theory in 2+1 dimensions with a Grosse-Wulkenhaar term, at the self-dual point. We also consider quantum…

High Energy Physics - Theory · Physics 2008-11-26 C. D. Fosco , G. A. Moreno

A class of effective field theory called delta-theory, which improves ultraviolet divergences in quantum field theory, is considered. We focus on a scalar model with a quartic self-interaction term and construct the delta theory by applying…

High Energy Physics - Theory · Physics 2020-12-30 Ricardo Avila , Carlos M. Reyes

In this work, we mainly study the one-loop effective action for real scalar theories in non-homogeneous backgrounds in odd dimensions. It is shown that through the method studied in Ref. [1], it is possible to obtain a unified result for…

High Energy Physics - Theory · Physics 2011-04-06 Burak Tevfik Kaynak

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…

High Energy Physics - Phenomenology · Physics 2016-05-19 D. M. Ghilencea

A comprehensive analysis on the photon self-energy, the fermion self-energy, and the fermion vertex function is presented at one loop in the context of quantum electrodynamics (QED) with 1 extra dimension. In 5-dimensional theories,…

High Energy Physics - Phenomenology · Physics 2020-02-26 E. Martínez-Pascual , G. Nápoles-Cañedo , H. Novales-Sánchez , A. Sierra-Martínez , J. J. Toscano

We consider the large order behavior of the perturbative expansion of the scalar $\varphi^4$ field theory in terms of a perturbative expansion around an instanton solution. We have computed the series of the free energy up to two-loop order…

Statistical Mechanics · Physics 2018-05-17 Enrico M. Malatesta , Giorgio Parisi , Tommaso Rizzo

The structure of loop corrections is examined in a scalar field theory on a three dimensional space whose spatial coordinates are noncommutative and satisfy SU(2) Lie algebra. In particular, the 2- and 4-point functions in $\phi^4$ scalar…

High Energy Physics - Theory · Physics 2008-11-26 H. Komaie-Moghaddam , M. Khorrami , A. H. Fatollahi

The 1-loop effective potential in a scalar theory with quartic interaction on the space $M^{4} \times T^{n}$ for $n=2$ is calculated and is shown to be unbounded from below. This is an indication of a possible instability of the vacuum of…

High Energy Physics - Theory · Physics 2009-09-25 E. Elizalde , K. Kirsten , Yu. Kubyshin

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,…

High Energy Physics - Theory · Physics 2019-01-15 Timothé Poulain , Jean-Christophe Wallet

We consider one loop quantum corrections to soliton mass for the ${\cal N}=1$ supersymmetric extension of the (1+1)-dimensional scalar field theory with the potential $U(\phi) = \phi^2 \cos^2\left(\ln \phi^2\right)$. First, we compute the…

High Energy Physics - Theory · Physics 2018-12-19 A. R. Aguirre , G. Flores-Hidalgo

In this work we evaluate analytically the ultraviolet divergences of Lorentz-violating massive O($N$) $\lambda\phi^{4}$ scalar field theories, which are exact in the Lorentz-violating mechanism, firstly explicitly at next-to-leading order…

High Energy Physics - Theory · Physics 2019-10-03 P. R. S. Carvalho , M. I. Sena-Junior

In a recent paper hep-ph/0208225 it has been claimed that to one-loop order in noncommutative phi^4 scalar field theory using dimensional regularization the UV and IR divergencies decouple. We point out that this statement is incorrect.

High Energy Physics - Theory · Physics 2007-05-23 H. Huffel

We work out the one-loop and order $\kappa^2 m_\phi^2$ UV divergent contributions, coming from Unimodular Gravity and General Relativity, to the S matrix element of the scattering process $\phi + \phi\rightarrow \phi + \phi$ in a $\lambda…

High Energy Physics - Theory · Physics 2018-02-15 Sergio González-Martín , Carmelo P. Martin

We study the decoupling effects in one-loop corrected N=1 supersymmetric theory with gauge neutral chiral superfields, by calculating the one-loop corrected effective Lagrangian that involves light and heavy fields with the mass scale M,…

High Energy Physics - Theory · Physics 2009-09-17 I. L. Buchbinder , M. Cvetic , A. Yu. Petrov

We study the power law running of gauge, Yukawa and quartic scalar couplings in the universal extra dimension scenario where the extra dimension is accessed by all the standard model fields. After compactifying on an $S_1 /Z_2$ orbifold, we…

High Energy Physics - Phenomenology · Physics 2010-04-05 Gautam Bhattacharyya , Anindya Datta , Swarup Kumar Majee , Amitava Raychaudhuri

We study one-loop perturbative properties of scalar field theories on the $\rho$-Minkowski space. The corresponding star-product, together with the involution are characterized from a combination of Weyl quantization and defining properties…

High Energy Physics - Theory · Physics 2023-07-06 Kilian Hersent , Jean-Christophe Wallet

The investigation of UV divergences is a relevant step in better understanding of a new theory. In this work the one-loop divergences in the free field sector are obtained for the popular Galileons model. The calculations are performed by…

High Energy Physics - Theory · Physics 2015-06-05 Tiberio de Paula Netto , Ilya L. Shapiro

Calculations of high-energy processes involving the production of a large number of particles in weakly-coupled quantum field theories have previously signaled the need for novel non-perturbative behavior or even new physical phenomena. In…

High Energy Physics - Phenomenology · Physics 2022-04-13 Sebastian Schenk

We probe the universality hypothesis by analytically computing, at least, the two-loop corrections to the critical exponents for $q$-deformed O($N$) self-interacting $\lambda\phi^{4}$ scalar field theories through six distinct and…

High Energy Physics - Theory · Physics 2019-10-03 P. R. S. Carvalho

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…

General Relativity and Quantum Cosmology · Physics 2022-10-04 Shin'ichi Hirano , Tomohiro Fujita
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