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We propose a novel method for renormalization group improvement of thermally resummed effective potential. In our method, $\beta$-functions are temperature dependent as a consequence of the divergence structure in resummed perturbation…

High Energy Physics - Phenomenology · Physics 2024-03-29 Koichi Funakubo , Eibun Senaha

The renormalized one-loop theory is a coarse-grained theory of corrections to the self-consistent field theory (SCFT) of polymer liquids, and to the random phase approximation (RPA) theory of composition fluctuations. We present predictions…

Soft Condensed Matter · Physics 2015-05-13 Jian Qin , David C. Morse

We study the low-temperature low-frequency conductivity sigma of an interacting one dimensional electron system in the presence of a periodic potential. The conductivity is strongly influenced by conservation laws, which, we argue, need be…

Strongly Correlated Electrons · Physics 2009-10-31 A. Rosch , N. Andrei

This is a lecture note on the renormalization group theory for field theory models based on the dimensional regularization method. We discuss the renormalization group approach to fundamental field theoretic models in low dimensions. We…

Statistical Mechanics · Physics 2018-04-10 Takashi Yanagisawa

We prove that the rank 3 analogue of the tensor model defined in [arXiv:1111.4997 [hep-th]] is renormalizable at all orders of perturbation. The proof is given in the momentum space. The one-loop $\gamma$- and $\beta$-functions of the model…

High Energy Physics - Theory · Physics 2015-03-19 Joseph Ben Geloun , Dine Ousmane Samary

One-loop calculations of renormalization constants in the model with gauge invariant ghost field Lagrangian are performed. It is shown that the model is asymptotically free and the renormalization constants satisfy the same equation as in…

High Energy Physics - Theory · Physics 2009-11-19 R. N. Baranov

We evaluate the one-loop prefactor in the false vacuum decay rate in a theory of a self interacting scalar field in 3+1 dimensions. We use a numerical method, established some time ago, which is based on a well-known theorem on functional…

High Energy Physics - Theory · Physics 2009-11-10 Jurgen Baacke , George Lavrelashvili

The vacuum structure of the inert doublet model is analysed at the one-loop level using the effective potential formalism, to verify the validity of tree-level predictions for the properties of the global minimum. An inert minimum (with…

High Energy Physics - Phenomenology · Physics 2016-08-16 P. M. Ferreira , Bogumila Swiezewska

By applying the recently developed Loop Regularization(LR) with string-mode regulators to supersymmetric field theories, we explicitly verify the supersymmetric Ward identities in several supersymmetric models at one-loop level. It is…

High Energy Physics - Phenomenology · Physics 2009-12-04 Jian-Wei Cui , Yong Tang , Yue-Liang Wu

A semiclassical approach to the low-temperature real time dynamics of generic one-dimensional, gapped models in the sine-Gordon model universality class is developed. Asymptotically exact universal results for correlation functions are…

Strongly Correlated Electrons · Physics 2007-05-23 Kedar Damle , Subir Sachdev

Using the higher covariant derivatives regularization of gauge theories in the framework of the background field method, supplemented with one-loop Pauli-Villars regulator fields, we obtain a version of the renormalization group equation…

High Energy Physics - Theory · Physics 2014-11-18 S. Chiantese

We compute the one-loop \beta-functions describing the renormalisation of the coupling constant \lambda and the frequency parameter \Omega for the real four-dimensional duality-covariant noncommutative \phi^4-model, which is renormalisable…

High Energy Physics - Theory · Physics 2009-11-10 Harald Grosse , Raimar Wulkenhaar

The Schrodinger equation with a two-dimensional delta-function potential is a simple example of an asymptotically free theory that undergoes dimensional transmutation. Renormalization requires the introduction of a mass scale, which can be…

Nuclear Theory · Physics 2007-05-23 Robert J. Perry , Sergio Szpigel

In the context of MSSM, a novel improving procedure based on the renormalization group equation is applied to the effective potential in the Higgs sector. We focus on the one-loop radiative corrections computed in Landau gauge by using the…

High Energy Physics - Phenomenology · Physics 2011-09-13 D. V. Gioutsos

All one-loop renormalization constants for Non-Abelian gauge theory are computed in details by using the symmetry-preserving Loop Regularization method proposed in\cite{LR1,LR2}. The resulting renormalization constants are manifestly shown…

High Energy Physics - Phenomenology · Physics 2008-11-26 Jian-Wei Cui , Yue-Liang Wu

We consider general renormalizable scalar field theory and derive six-loop beta functions for all parameters in d = 4 dimensions within the $\overline{MS}$-scheme. We do not explicitly compute relevant loop integrals but utilize…

High Energy Physics - Phenomenology · Physics 2021-04-28 Alexander Bednyakov , Andrey Pikelner

We review two different noncommutative gauge models generalizing approaches which lead to renormalizable scalar quantum field theories. One of them implements the crucial IR damping of the gauge field propagator in the so-called ``soft…

High Energy Physics - Theory · Physics 2011-05-18 Michael Wohlgenannt

We apply dimensional reduction to the finite temperature U(1)+Higgs theory and study the properties of the reduced 3-dimensional theory in the broken phase using lattice Monte Carlo simulations. We compute analytically the scalar condensate…

High Energy Physics - Lattice · Physics 2007-05-23 Mika Karjalainen , Janne Peisa

The beta function of the multichannel Kondo model is calculated exactly in the limit of large spin N and channel number M=gamma*N, with constant gamma. There are no corrections in any finite order of 1/N. One zero is found at a finite…

Strongly Correlated Electrons · Physics 2009-10-31 Kurt Fischer

We study the one-loop renormalisation of 4d SU(N) Yang-Mills theory with $M$ adjoint representation scalar multiplets. We calculate the coupled one-loop renormalization group flows for this theory by developing an algebraic description,…

High Energy Physics - Theory · Physics 2023-11-13 Nadia Flodgren