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A phenomenological description of the Stern--Gerlach experiment yields a mathematical structure equivalent to that of a spin-1/2 particle, described by an irreducible unitary representation of the Poincar\'e group. In the corresponding…

General Physics · Physics 2026-01-14 Walter Smilga

We formulate directed percolation in (1+1) dimensions in the language of a reaction-diffusion process with exclusion taking place in one space dimension. We map the master equation that describes the dynamics of the system onto a quantum…

Statistical Mechanics · Physics 2009-10-31 V. Brunel , K. Oerding , F. van Wijland

A regularization for effective field theory with two propagating heavy particles is constructed. This regularization preserves the low-energy analytic structure, implements a low-energy power counting for the one-loop diagrams, and…

High Energy Physics - Phenomenology · Physics 2014-11-17 J. L. Goity , D. Lehmann , G. Prezeau , J. Saez

Imposing T-duality in the renormalisation process of entanglement entropy leads to new relations between entanglement entropy counter-terms. T-duality is made explicit by means of the generalised metric of double field theory in the context…

High Energy Physics - Theory · Physics 2018-01-17 Andrei T. Patrascu

This lecture provides an introduction to the renormalisation group as applied to scattering of two nonrelativistic particles. As well as forming a framework for constructing effective theories of few-nucleon systems, these ideas also…

High Energy Physics - Phenomenology · Physics 2007-09-20 Michael C. Birse

The review is a brief description of the state of problems in percolation theory and their numerous applications, which are analyzed on base of interesting papers published in the last 15-20 years. At the submitted papers are studied both…

General Physics · Physics 2022-10-25 Alexander Herega

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

In random percolation one finds that the mean field regime above the upper critical dimension can simply be explained through the coexistence of infinite percolating clusters at the critical point. Because of the mapping between percolation…

High Energy Physics - Lattice · Physics 2009-11-07 G. Andronico , A. Coniglio , S. Fortunato

A simple introduction of renormalization in quantum field theory is discussed. Explanation of concepts is emphasized instead of the technical details.

High Energy Physics - Phenomenology · Physics 2017-08-23 Ling-Fong Li , Chongqing

The renormalization group flow of an integrable two dimensional quantum field theory which contains unstable particles is investigated. The analysis is carried out for the Virasoro central charge and the conformal dimensions as a function…

High Energy Physics - Theory · Physics 2009-12-31 O. A. Castro-Alvaredo , A. Fring

For any given algebra of local observables in Minkowski space an associated scaling algebra is constructed on which renormalization group (scaling) transformations act in a canonical manner. The method can be carried over to arbitrary…

High Energy Physics - Theory · Physics 2015-06-26 Detlev Buchholz , Rainer Verch

We review the field theory approach to percolation processes. Specifically, we focus on the so-called simple and general epidemic processes that display continuous non-equilibrium active to absorbing state phase transitions whose asymptotic…

Statistical Mechanics · Physics 2009-11-10 Hans-Karl Janssen , Uwe C. Tauber

Renormalization of Hamiltonian field theory is usually a rather painful algebraic or numerical exercise. By combining a method based on the coupled cluster method, analysed in detail by Suzuki and Okamoto, with a Wilsonian approach to…

High Energy Physics - Phenomenology · Physics 2010-02-03 Amir H. Rezaeian , Niels R. Walet

We have developed a nonperturbative functional renormalization group approach for random field models and related disordered systems for which, due to the existence of many metastable states, conventional perturbation theory often fails.…

Statistical Mechanics · Physics 2011-07-20 Gilles Tarjus , Matthieu Tissier

The functional renormalization group flow of a scalar field theory with quartic couplings and a sharp spatial momentum cutoff is presented in four-dimensional Minkowski space-time for the bare action by retaining the entanglement of the IR…

High Energy Physics - Theory · Physics 2022-02-16 S. Nagy , J. Polonyi

We propose inverse renormalization group transformations within the context of quantum field theory that produce the appropriate critical fixed point structure, give rise to inverse flows in parameter space, and evade the critical slowing…

High Energy Physics - Lattice · Physics 2022-02-25 Dimitrios Bachtis , Gert Aarts , Francesco Di Renzo , Biagio Lucini

The presence of random fields is well known to destroy ferromagnetic order in Ising systems in two dimensions. When the system is placed in a sufficiently strong external field, however, the size of clusters of like spins diverges. There is…

Statistical Mechanics · Physics 2011-08-01 Jacob D. Stevenson , Martin Weigel

Disordered systems are interesting for many physical reasons. In this article, we study the renormalization group property of quenched disorder systems in the presence of a boundary. We construct examples of scalar field theories in various…

High Energy Physics - Theory · Physics 2021-08-17 Rajesh Kumar Gupta

The possible usefulness of the renormalization group method in Nuclear Physics is pointed out in this talk in the context of the nuclear multifragmentation. The presentation is rather superficial and sketchy, to indicate the main lines…

Nuclear Theory · Physics 2007-05-23 J. Polonyi

The replicated field theory of the random field Ising model involves the couplings of replicas of different indices. The resulting correlation functions involve a superposition of different types of long distance behaviours. However the…

Condensed Matter · Physics 2009-10-31 E. Brézin , De Dominicis