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Finite size fluctuations are a crucial ingredient in kinetic theory of long-range interacting collisionless systems. In this Letter, we introduce a phenomenological theory which predicts an anomalous scaling close to marginal stability for…

Statistical Mechanics · Physics 2026-03-19 Yoshiyuki Y. Yamaguchi , Julien Barré

We demonstrate that interacting ultraviolet fixed points in four dimensions exist at strong coupling, and away from large-$N$ Veneziano limits. This is established exemplarily for semi-simple supersymmetric gauge theories with chiral matter…

High Energy Physics - Theory · Physics 2022-05-25 Andrew D. Bond , Daniel F. Litim

Results for $\beta$-functions and anomalous dimensions in general scalar fermion theories are presented to three loops. Various constraints on the individual coefficients for each diagram following from supersymmetry are analysed. The…

High Energy Physics - Theory · Physics 2025-06-16 Ian Jack , Hugh Osborn , Tom Steudtner

We employ the conformal bootstrap to re-examine the problem of finding the critical behavior of four-Fermion theory at its strong coupling fixed point. Existence of a solution of the bootstrap equations indicates self-consistency of the…

High Energy Physics - Theory · Physics 2009-10-22 Wei Chen , Yuri Makeenko , Gordon W Semenoff

Strongly coupled gauge systems with many fermions are important in many phenomenological models. I use the 2-lattice matching Monte Carlo renormalization group method to study the fixed point structure and critical indexes of SU(3) gauge…

High Energy Physics - Lattice · Physics 2014-11-20 Anna Hasenfratz

Extended simulation results and their analysis are reported in a strongly coupled gauge theory with twelve fermion flavors in the fundamental SU(3) color representation. The conformality of the model is probed using mass deformed conformal…

High Energy Physics - Lattice · Physics 2012-11-20 Zoltan Fodor , Kieran Holland , Julius Kuti , Daniel Nogradi , Chris Schroeder , Chik Him Wong

Fuzzy spheres appear as classical solutions in a matrix model obtained via dimensional reduction of 3-dimensional Yang-Mills theory with the Chern-Simons term. Well-defined perturbative expansion around these solutions can be formulated…

High Energy Physics - Theory · Physics 2009-11-10 Takehiro Azuma , Subrata Bal , Keiichi Nagao , Jun Nishimura

The possibility that gauge theories with chiral symmetry breaking below the conformal window exhibit an infrared fixed point is explored. With this assumption three aspects of pion physics are reproduced if the the quark mass anomalous…

High Energy Physics - Phenomenology · Physics 2023-08-16 Roman Zwicky

We examine the effects of standard model-like interactions on the near-conformal dynamics of a theory featuring a dilatonic state identified with the standard model-like Higgs. As template for near-conformal dynamics we use a gauge theory…

High Energy Physics - Phenomenology · Physics 2015-06-15 Oleg Antipin , Jens Krog , Esben Mølgaard , Francesco Sannino

We propose a six-dimensional regularization of four dimensional chiral gauge theories. We consider a massive Dirac fermion in six dimensions with two different operators having domain-wall profiles in the fifth and the sixth directions,…

High Energy Physics - Lattice · Physics 2017-05-18 Hidenori Fukaya , Tetsuya Onogi , Shota Yamamoto , Ryo Yamamura

We propose a regularization of four dimensional chiral gauge theories using six-dimensional Dirac fermions. In our formulation, we consider two different mass terms having domain-wall profiles in the fifth and the sixth directions,…

High Energy Physics - Theory · Physics 2019-12-06 Hidenori Fukaya , Tetsuya Onogi , Shota Yamamoto , Ryo Yamamura

We consider a four-dimensional $SU(N_c)$ gauge theory coupled to $N_f$ species of color fermions and $N_f^2$ colorless scalars. The quantum field theory possesses a weakly interacting ultraviolet fixed point that we determine from beta…

High Energy Physics - Theory · Physics 2024-04-04 A. V. Bednyakov , A. I. Mukhaeva

At an elementary level, we present some non-perturbative aspects of non-abelian gauge theories in four dimensional space-time. Some rigorous results have been obtained in the framework of supersymmetric theories, and a very rich physics…

High Energy Physics - Phenomenology · Physics 2007-05-23 Frank Ferrari

The dynamics at the IR fixed point realized in the $SU(N_c)$ gauge theories with massless Dirac fermions is studied by means of the non-perturbative renormalization group. The analysis includes the IR fixed points with non-trivial Yukawa…

High Energy Physics - Phenomenology · Physics 2011-11-09 Haruhiko Terao , Akito Tsuchiya

We study the perturbative phase diagram of semi-simple fermionic gauge theories resembling the Standard Model. We investigate an $SU(N)$ gauge theory with $M$ Dirac flavors where we gauge first an $SU(M)_L$ and then an $SU(2)_L \subset…

High Energy Physics - Theory · Physics 2016-02-19 Jacob Kamuk Esbensen , Thomas A. Ryttov , Francesco Sannino

The chiral fermion model with local multifermion interactions proposed in Nucl. Phys. B486 (1997) 282 and Phys. Rev. D61 (2000) 054502 processes an exact SU_L(2) chiral gauge symmetry and SU_L(2) by U_R(1) chiral flavour symmetry on a…

High Energy Physics - Lattice · Physics 2009-10-31 She-Sheng Xue

Walking technicolor is a mechanism for electroweak symmetry breaking without Higgs field. The Higgs mechanism is provided by chiral symmetry breaking in the technicolor theory. An essential ingredient is the vicinity to an IR fixed point,…

High Energy Physics - Lattice · Physics 2011-04-14 Luigi Del Debbio , Biagio Lucini , Agostino Patella , Claudio Pica , Antonio Rago

We give an introduction to the dynamical symmetry breaking with large anomalous dimension. This is the basis of tightly bound composite Higgs models such as walking technicolor, strong ETC technicolor and top quark condensate, which are all…

High Energy Physics - Phenomenology · Physics 2007-05-23 Koichi Yamawaki

These lectures address the dynamics of phase ordering out of equilibrium in condensed matter and in quantum field theory in cosmological settings, emphasizing their similarities and differences. In condensed matter we describe the…

High Energy Physics - Phenomenology · Physics 2007-05-23 D. Boyanovsky , H. J. de Vega , R. Holman

We develop a gauged Wess-Zumino model in noncommutative Minkowski superspace. This is the natural extension of the work of Carlson and Nazaryan, which extended N=1/2 supersymmetry written over deformed Euclidean superspace to Minkowski…

High Energy Physics - Theory · Physics 2009-11-11 James S. Cook