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We compute the renormalized running coupling of SU(3) gauge theory coupled to N_f = 2 flavors of massless Dirac fermions in the 2-index-symmetric (sextet) representation. This model is of particular interest as a minimal realization of the…

High Energy Physics - Lattice · Physics 2015-09-17 Zoltan Fodor , Kieran Holland , Julius Kuti , Santanu Mondal , Daniel Nogradi , Chik Him Wong

We propose a novel renormalization scheme for the hadronic operators. The renormalization factor of the operator in this scheme is normalized by the correlation function at tree level in coordinate space. If we focus on the pseudo scalar…

High Energy Physics - Lattice · Physics 2015-04-15 Etsuko Itou

We investigate SU(2) gauge theory in a constant chromomagnetic field in three dimensions both in the continuum and on the lattice. Using a variational method to stabilize the unstable modes, we evaluate the vacuum energy density in the…

High Energy Physics - Lattice · Physics 2009-10-22 P. Cea , L. Cosmai

We present a measurement of the running coupling in SU(2) with two adjoint fermions in the Yang-Mills gradient flow scheme. The simulations are performed with Schr\"odinger Functional boundary conditions using an improved HEX-smeared Wilson…

High Energy Physics - Lattice · Physics 2013-11-18 Jarno Rantaharju

Staggered fermion shift symmetries correspond to translations of the fermion field within the unit cell of a hypercubic lattice. They satisfy an algebra and in four Euclidean dimensions can be related to a discrete subgroup of an $SU(4)$…

High Energy Physics - Lattice · Physics 2024-10-08 Simon Catterall , Arnab Pradhan

We explore aspects of the phase structure of SU(2) and SU(3) lattice gauge theories at strong coupling with many flavours $N_f$ of Wilson fermions in the fundamental representation. The pseudoscalar meson mass as a function of hopping…

High Energy Physics - Lattice · Physics 2010-04-30 Kei-ichi Nagai , Georgina Carrillo-Ruiz , Gergana Koleva , Randy Lewis

We study two-dimensional Dirac fermions in a random non-Abelian vector potential by using lattice regularization. We consider U(N) random vector potential for large $N$. The ensemble average with respect to random vector potential is taken…

Condensed Matter · Physics 2009-10-31 Ikuo Ichinose

We apply Schroedinger functional methods to two gauge theories with fermions in two-index representations: the SU(3) theory with Nf=2 adjoint fermions, and the SU(4) theory with Nf=6 fermions in the two-index antisymmetric representation.…

High Energy Physics - Lattice · Physics 2013-09-25 Thomas DeGrand , Yigal Shamir , Benjamin Svetitsky

We study the SU(3) gauge theory with twelve flavours of fermions in the fundamental representation as a prototype of non-Abelian gauge theories inside the conformal window. Guided by the pattern of underlying symmetries, chiral and…

High Energy Physics - Lattice · Physics 2015-06-23 M. P. Lombardo , K. Miura , T. J. Nunes da Silva , E. Pallante

We show how a path integral for reduced K\"{a}hler-Dirac fermions suffers from a phase ambiguity associated with the fermion measure that is an analog of the measure problem seen for chiral fermions. However, unlike the case of chiral…

High Energy Physics - Lattice · Physics 2024-04-24 Simon Catterall

We use lattice simulations to study SU(3) gauge theory with 13 massless fermions in the fundamental representation. We present evidence that the theory is conformal with a non-zero infrared fixed point in the gauge coupling. We use a…

High Energy Physics - Lattice · Physics 2018-11-14 Zoltan Fodor , Kieran Holland , Julius Kuti , Daniel Nogradi , Chik Him Wong

The solvability of the three-dimensional O($N$) scalar field theory in the large $N$ limit makes it an ideal toy model exhibiting "walking" behavior, expected in some SU($N$) gauge theories with a large number of fermion flavors. We study…

High Energy Physics - Lattice · Physics 2015-06-22 Sinya Aoki , Janos Balog , Peter Weisz

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

The running coupling and the Kugo-Ojima parameter of unquenched lattice Landau gauge are simulated and compared with the continuum theory. Presence of infrared fixed point of $\alpha_0\sim 2-2.5$ irrespective of the fermion actions (Wilson…

High Energy Physics - Lattice · Physics 2009-09-29 Sadataka Furui , Hideo Nakajima

Gauge theories with matter fields in various representations play an important role in different branches of physics. Recently, it was proposed that several aspects of the interesting pseudogap phase of cuprate superconductors near optimal…

High Energy Physics - Lattice · Physics 2024-07-31 Guilherme Catumba , Atsuki Hiraguchi , Wei-Shu Hou , Karl Jansen , Ying-Jer Kao , C. -J. David Lin , Alberto Ramos , Mugdha Sarkar

The $N=2$ supersymmetric continuum limit is investigated in the SU(2) adjoint Higgs-Yukawa model using lattice perturbation theory. In the one-loop renormalization group equations a non-trivial infrared fixed point of coupling ratios is…

High Energy Physics - Lattice · Physics 2016-08-31 I. Montvay

We present a minimal inverse seesaw mechanism by resorting to a $U(1)_{B-L}$ gauge symmetry. In order to cancel the gauge anomalies, we introduce seven neutral fermions among which four participate in the inverse seesaw to induce two…

High Energy Physics - Phenomenology · Physics 2020-05-27 Pei-Hong Gu

Recent lattice measurements of the topological susceptibility of SU(2) gauge theory using improved cooling and inverse-blocking are in disagreement. We use the overlap method, which probes the fermionic sector of the theory directly, to…

High Energy Physics - Lattice · Physics 2009-10-30 Rajamani Narayanan , Robert L. Singleton

A finite-size scaling technique is applied to the SU(2) gauge theory (without matter fields) to compute a non-perturbatively defined running coupling alpha(q) for a range of momenta q given in units of the string tension K. We find that…

High Energy Physics - Lattice · Physics 2016-08-14 Martin Lüscher , Peter Weisz , Rainer Sommer , Ulli Wolff

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