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We complete a program of study of SU(N) gauge theories coupled to two flavors of fermions in the two-index symmetric representation by performing numerical simulations in SU(4). The beta function, defined and calculated via the…

高能物理 - 格点 · 物理学 2013-05-30 Thomas DeGrand , Yigal Shamir , Benjamin Svetitsky

We describe a new method to determine non-perturbatively the beta function of a gauge theory using lattice simulations in the p-regime of the theory. This complements alternative measurements of the beta function working directly at zero…

高能物理 - 格点 · 物理学 2018-04-18 Zoltan Fodor , Kieran Holland , Julius Kuti , Daniel Nogradi , Chik Him Wong

We are studying the $SU(3)$ gauge theory with 12 staggered fermions, searching for the endpoint of the line of first-order phase transitions in the mass--beta plane. This endpoint plays an important role in our understanding of the phase…

高能物理 - 格点 · 物理学 2016-11-16 Zechariah Gelzer , Yuzhi Liu , Yannick Meurice

We discuss near-conformal gauge theories beyond the standard model (BSM) where interesting results on the twelve-flavor $\beta$-function of massless fermions in the fundamental representation of the SU(3) color gauge group and dilaton tests…

高能物理 - 格点 · 物理学 2018-04-18 Zoltan Fodor , Kieran Holland , Julius Kuti , Daniel Nogradi , Chik Him Wong

A manifestly gauge invariant and regularized renormalization group flow equation is constructed for pure SU(N) gauge theory in the large N limit. In this way we make precise and concrete the notion of a non-perturbative gauge invariant…

高能物理 - 理论 · 物理学 2009-12-10 Tim R. Morris

We present a comprehensive tensor network study of staggered, Wilson, and twisted mass fermions in the Hamiltonian formulation, using the massive two-flavor Schwinger model as a benchmark. Particular emphasis is placed on twisted mass…

高能物理 - 格点 · 物理学 2026-04-14 Tim Schwägerl , Karl Jansen , Stefan Kühn

We study SU(2) gauge theory with two fermion flavors in the adjoint representation. Using a clover improved HEX smeared action and the gradient flow running coupling allows us to simulate with larger lattice size than before. We find an…

高能物理 - 格点 · 物理学 2016-05-31 Jarno Rantaharju

The gradient-flow formalism is applied to a non-Abelian gauge theory with scalar and fermionic particles, dubbed "scalar QCD". It is shown that the flowed scalar quark requires a field renormalization, albeit only beyond the one-loop level.…

高能物理 - 唯象学 · 物理学 2025-03-26 J. Borgulat , N. Felten , R. V. Harlander , J. T. Kohnen

We present new results from our ongoing study of the SU(3) sextet model with two flavors in the two-index symmetric representation of the gauge group. In the simulations use unimproved Wilson fermions to investigate the infrared properties…

高能物理 - 格点 · 物理学 2017-09-13 Martin Hansen , Claudio Pica

We compute non-perturbatively the renormalization coefficients of scalar and pseudoscalar operators, local vector and axial currents, conserved vector and axial currents, and $O^{\Delta S=2}_{LL}$ over a wide range of energy scales using a…

高能物理 - 格点 · 物理学 2009-10-31 Yuriy Zhestkov

We investigate the convergence of the derivative expansion of the exact renormalisation group, by using it to compute the beta function of scalar theory. We demonstrate that the derivative expansion of the Polchinski flow equation converges…

高能物理 - 理论 · 物理学 2007-05-23 John F. Tighe

We study SU(2) gauge theory with two Dirac fermions in the adjoint representation of the gauge group on the lattice. Using clover improved Wilson fermion action with hypercubic truncated stout smearing we perform simulations at larger…

高能物理 - 格点 · 物理学 2016-05-27 Jarno Rantaharju , Teemu Rantalaiho , Kari Rummukainen , Kimmo Tuominen

We study the renormalization group flow in a class of scalar-tensor theories involving at most two derivatives of the fields. We show in general that minimal coupling is self consistent, in the sense that when the scalar self couplings are…

高能物理 - 理论 · 物理学 2015-05-14 Gaurav Narain , Roberto Percacci

We systematically examine various proposals which aim at increasing the accuracy in the determination of the renormalization of two-fermion lattice operators. We concentrate on three finite quantities which are particularly suitable for our…

高能物理 - 格点 · 物理学 2011-09-13 M. Crisafulli , V. Lubicz , A. Vladikas

We present our preliminary study of the SU(2) gauge theory with 8 flavors of fermions in fundamental representation. This theory could be a candidate of the gauge theory with conformal fixed point. By using Wilson/Polyakov loop in a finite…

The behavior of the beta-function of the low-energy effective coupling in the N=2 supersymmetric SU(2) QCD with several massive matter hypermultiplets and in the SU(3) Yang-Mills theory is determined near the superconformal points in the…

高能物理 - 理论 · 物理学 2009-10-30 Takahiro Kubota , Naoto Yokoi

We present strong numerical evidence for the existence of an infrared fixed point in the renormalization group flow of the SU(3) gauge-fermion system with twelve massless fermions in the fundamental representation. Our numerical simulations…

高能物理 - 格点 · 物理学 2024-03-14 Curtis Taylor Peterson , Anna Hasenfratz

We apply finite-size recursion techniques based on the Schrodinger functional formalism to determine the renormalization group running of four-fermion operators which appear in the Delta S=2 effective weak Hamiltonian of the Standard Model.…

高能物理 - 格点 · 物理学 2008-11-26 ALPHA Collaboration , P. Dimopoulos , G. Herdoiza , F. Palombi , C. Pena , S. Sint , A. Vladikas

We briefly report our calculation of the 2-loop coefficient of the coupling constant renormalization function Z_g in lattice perturbation theory. The quantity under study is defined through g_0 = Z_g g, where g_0 (g) is the bare…

高能物理 - 格点 · 物理学 2009-04-14 Martha Constantinou , Haralambos Panagopoulos

Non-perturbative results for improvement and renormalization constants needed for on-shell and off-shell O(a) improvement of bilinear operators composed of Wilson fermions are presented. The calculations have been done in the quenched…

高能物理 - 格点 · 物理学 2009-09-29 Tanmoy Bhattacharya , Rajan Gupta , Weonjong Lee , Stephen R. Sharpe