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The stochastic model of classical system of particles (partons), which dynamics includes random walk in plane as well as processes of death, splitting, annihilation and fusion of partons, is considered. A set of equations for multiparticle…

High Energy Physics - Phenomenology · Physics 2016-11-23 K. G. Boreskov

In the quest for an effective field theory which could help to understand some non perturbative feature of the QCD in the Regge limit, we consider a Reggeon Field Theory (RFT) for both Pomeron and Odderon interactions and perform an…

High Energy Physics - Theory · Physics 2017-04-05 Gian Paolo Vacca

A general field theoretic model of directed percolation with many colors that is equivalent to a population model (Gribov process) with many species near their extinction thresholds is presented. It is shown that the multicritical behavior…

Statistical Mechanics · Physics 2009-10-28 H. K. Janssen

Floquet theory and other established semiclassical approaches are widely used methods to predict the state of externally-driven quantum systems, yet, they do not allow to predict the state of the photonic driving field. To overcome this…

Quantum Physics · Physics 2024-07-26 Georg Engelhardt , JunYan Luo , Victor M. Bastidas , Gloria Platero

Generalized Effective Field Theory (GEFT) is the non-renormalizable extension of an Effective Field Theory where the Wilson coefficients are endowed by their own, independent scale dependence. Such an effective theory can be constructed by…

High Energy Physics - Theory · Physics 2020-01-08 Nikos Irges , Fotis Koutroulis

It is explained how field-theoretic methods and the dynamic renormalisation group (RG) can be applied to study the universal scaling properties of systems that either undergo a continuous phase transition or display generic scale…

Statistical Mechanics · Physics 2011-03-28 Uwe C. Tauber

We review the application of field-theoretic renormalization group (RG) methods to the study of fluctuations in reaction-diffusion problems. We first investigate the physical origin of universality in these systems, before comparing RG…

Statistical Mechanics · Physics 2007-05-23 Uwe C. Tauber , Martin Howard , Benjamin P. Vollmayr-Lee

A model of directed percolation processes with colors and flavors that is equivalent to a population model with many species near their extinction thresholds is presented. We use renormalized field theory and demonstrate that all…

Statistical Mechanics · Physics 2007-05-23 Hans-Karl Janssen

This paper develops a theory of graph classification under domain shift through a random-graph generative lens, where we consider intra-class graphs sharing the same random graph model (RGM) and the domain shift induced by changes in RGM…

Machine Learning · Computer Science 2026-03-02 Zhang Wan , Tingting Mu , Samuel Kaski

Random fields have remained a topic of great interest over past decades for the purpose of structured inference, especially for problems such as image segmentation. The local nodal interactions commonly used in such models often suffer the…

Computer Vision and Pattern Recognition · Computer Science 2015-07-01 Mohammad Javad Shafiee , Alexander Wong , Paul Fieguth

We analyze deformations of two-dimensional conformal field theory (CFT) from the perspective of classical bosonic closed string field theory (SFT). The latter can be viewed as a version of Wilsonian renormalization group (RG) improved…

High Energy Physics - Theory · Physics 2024-05-21 Ben Mazel , Joshua Sandor , Charles Wang , Xi Yin

Parton Reggeization approach is the scheme of kT-factorization for multiscale hard processes, which is based on the Lipatov's gauge invariant effective field theory (EFT) for high energy processes in QCD. The new type of rapidity…

High Energy Physics - Phenomenology · Physics 2016-08-16 Maxim Nefedov , Vladimir Saleev

We review a physical content of the two simplest models of reggeon field theory: namely the eikonal and the Schwimmer models. The AGK cutting rules are used to obtain the inclusive, the inelastic and the diffractive cross sections. The…

High Energy Physics - Phenomenology · Physics 2009-01-07 K. G. Boreskov , A. B. Kaidalov , V. A. Khoze , A. D. Martin , M. G. Ryskin

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

Using the precursor map in AdS/CFT, the renormalization group cutoff function is mapped to the dual theory. The resulting flow equations on the two sides of the duality are compared.

High Energy Physics - Theory · Physics 2019-09-04 Farhad Ardalan

Statistical field theory methods have been very successful with a number of random graph and random matrix problems, but it is challenging to apply these methods to graphs with prescribed degree sequences due to the extensive number of…

Statistical Mechanics · Physics 2025-05-20 Pawat Akara-pipattana , Oleg Evnin

We present a general theory of stochastic model reduction which is based on a normal form coordinate transform method of A.J. Roberts. This nonlinear, stochastic projection allows for the deterministic and stochastic dynamics to interact…

Dynamical Systems · Mathematics 2017-11-22 Eric Forgoston , Lora Billings , Ira B. Schwartz

Consider the edge-deletion process in which the edges of some finite tree T are removed one after the other in the uniform random order. Roughly speaking, the cut-tree then describes the genealogy of connected components appearing in this…

Probability · Mathematics 2013-07-23 Jean Bertoin , Grégory Miermont

Conformal field theory (CFT) is an extremely powerful tool for explicitly computing critical exponents and correlation functions of statistical mechanics systems at a second order phase transition, or of condensed matter systems at a…

Mathematical Physics · Physics 2021-02-23 Alessandro Giuliani

A manifestly covariant, coordinate independent reformulation of the Thermodynamic Field Theory (TFT) is presented. The TFT is a covariant field theory that describes the evolution of a thermodynamic system, extending the near-equilibrium…

Statistical Mechanics · Physics 2015-06-25 Giorgio Sonnino , Jarah Evslin
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