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In these notes the exact renormalization group formulation of the scalar theory is briefly reviewed. This regularization scheme is then applied to supersymmetric theories. In case of a supersymmetric gauge theory it is also shown how to…

High Energy Physics - Theory · Physics 2007-05-23 Federica Vian

Renormalization group method is applied to the study of vibrational energy transfer in protein molecule. An effective Lagrangian and associated equations of motion to describe the resonant energy transfer are analyzed in terms of the…

Biological Physics · Physics 2022-10-13 Shigenori Tanaka

Functional renormalisation group approach is applied to a imbalanced many- fermion system with a short-range attractive force. Composite boson field is introduced to describe the pairing between different flavour fermions. A set of…

Quantum Gases · Physics 2015-06-22 Boris Krippa

A method is described to probe high-scale physics in lower-energy experiments by employing sum rules in terms of renormalisation group invariants. The method is worked out in detail for the study of supersymmetry-breaking mechanisms in the…

High Energy Physics - Phenomenology · Physics 2012-11-06 Jamil Hetzel , Wim Beenakker

We consider an explicit effective field theory example based on the Bousso-Polchinski framework with a large number N of hidden sectors contributing to supersymmetry breaking. Each contribution comes from four form quantized fluxes,…

High Energy Physics - Phenomenology · Physics 2020-04-08 Emilian Dudas , Priyanka Lamba , Sudhir K. Vempati

The Lie-group approach to the perturbative renormalization group (RG) method is developed to obtain an asymptotic solutions of both autonomous and non-autonomous ordinary differential equations. Reduction of some partial differetial…

patt-sol · Physics 2009-10-31 Shin-itiro Goto , Yuji Masutomi , Kazuhiro Nozaki

After a quarter of century of intense search for new physics beyond the Standard Model (SM), two ideas stand out to naturally cope with (i) small neutrino masses and (ii) a light higgs boson : Seesaw and SUSY. The combination of these two…

High Energy Physics - Phenomenology · Physics 2009-11-10 A. Masiero , S. K. Vempati , O. Vives

I am showing how the ideas behind the renormalisation group can be generalised in order to produce the desired reduction in the degrees of freedom other that the ones considered up to now. Instead of looking only at the renormalisation…

High Energy Physics - Theory · Physics 2024-04-01 Andrei T. Patrascu

Renormalization Group Equations in integro-differential form describing the evolution of cascades or resumming logarithmic scaling violations have been known in quantum field theory for a long time. These equations have been traditionally…

High Energy Physics - Phenomenology · Physics 2017-08-23 A. Cafarella , C. Coriano' , M. Guzzi

Manifestly invariant renormalization scheme for supersymmetric gauge theories is proposed. This scheme is applied to supersymmetric quantum electrodynamics.

High Energy Physics - Theory · Physics 2007-05-23 A. A. Slavnov , K. V. Stepanyantz

If supersymmetry (SUSY) will be discovered, successful models of flavour not only have to provide an explanation of the flavour structure of the Standard Model fermions, but also of the flavour structure of their scalar superpartners. We…

High Energy Physics - Phenomenology · Physics 2011-08-05 Stefan Antusch , Lorenzo Calibbi , Vinzenz Maurer , Martin Spinrath

We describe how bi-maximal neutrino mixing can be realized in realistic models based on MSSM and SUSY GUTs such as SU(5) and SO(10). A crucial role is played by an anomalous ${\cal U}(1)$ flavor symmetry, which also helps understand the…

High Energy Physics - Phenomenology · Physics 2007-05-23 Qaisar Shafi , Zurab Tavartkiladze

We stress the potential usefulness of renormalization group invariants. Especially particular combinations thereof could for instance be used as probes into patterns of supersymmetry breaking in the MSSM at inaccessibly high energies. We…

High Energy Physics - Phenomenology · Physics 2015-09-11 Wim Beenakker , Tom van Daal , Ronald Kleiss , Rob Verheyen

A renormalization group theory for a system consisting of coupled superconducting layers as a model for typical high-temperature superconducters is developed. In a first step the electromagnetic interaction over infinitely many layers is…

supr-con · Physics 2009-10-28 Carsten Timm

A recently introduced real space renormalization group technique, developed for the analysis of processes in the Kardar-Parisi-Zhang universality class, is generalized and tested by applying it to a different family of surface growth…

Condensed Matter · Physics 2016-08-31 G. Bianconi , M. A. Munoz , A. Gabrielli , L. Pietronero

We present a simple proof of the all-order exponentiation of soft logarithmic corrections to hard processes in perturbative QCD. Our argument is based on proving that all large logs in the soft limit can be expressed in terms of a single…

High Energy Physics - Phenomenology · Physics 2010-04-05 Stefano Forte , Giovanni Ridolfi

We propose a new technique to incorporate multiple fermion flavors in the tensor renormalization group method for lattice gauge theories, where fermions are treated by the Grassmann tensor network formalism. The basic idea is to separate…

High Energy Physics - Lattice · Physics 2023-09-06 Atis Yosprakob , Jun Nishimura , Kouichi Okunishi

The tensor renormalization group is a promising complementary approach to traditional Monte Carlo methods for lattice systems, as it is inherently free from the sign problem. We discuss recent developments crucial for its application to…

High Energy Physics - Lattice · Physics 2025-01-27 Atis Yosprakob

In this paper we develop a new renormalization group method, which is based on conditional expectations and harmonic extensions, to study functional integrals related with small perturbations of Gaussian fields. In this new method one…

Mathematical Physics · Physics 2014-12-16 Hao Shen

In the present review we show that renormalizations in a softly broken SUSY gauge theory are not independent but directly follow from those of an unbroken or rigid theory. This is a consequence of a treatment of a softly broken theory as a…

High Energy Physics - Phenomenology · Physics 2017-08-23 D. I. Kazakov
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