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We suggest how to consistently calculate the anomalous dimension $\gamma_*$ of the $\bar{\psi}\psi$ operator in finite order perturbation theory at an infrared fixed point for asymptotically free theories. If the $n+1$ loop beta function…

高能物理 - 理论 · 物理学 2016-08-17 Thomas A. Ryttov

We consider spectral quantities in lattice QCD and determine the asymptotic behavior of their discretization errors. Wilson fermion with O$(a)$-improvement, (M\"obius) Domain wall fermion (DWF), and overlap Dirac operators are considered in…

高能物理 - 格点 · 物理学 2024-10-18 Nikolai Husung , Peter Marquard , Rainer Sommer

We non-perturbatively determine the renormalization factor of the axial vector current in lattice QCD with $N_f=3$ flavors of Wilson-clover fermions and the tree-level Symanzik-improved gauge action. The (by now standard) renormalization…

高能物理 - 格点 · 物理学 2016-06-29 John Bulava , Michele Della Morte , Jochen Heitger , Christian Wittemeier

We study the predictions for sfermion masses and Lepton Flavour Violation (LFV) for the WMAP preferred parameter space in $b-\tau$ Yukawa-unified models with massive neutrinos. A soft term structure as predicted by an Abelian flavour…

高能物理 - 唯象学 · 物理学 2015-03-13 M. E. Gómez , S. Lola , P. Naranjo , J. Rodríguez-Quintero

We present results from simulations of two flavor QCD thermodynamics at N_t=4 with domain wall fermions. In contrast to other lattice fermion formulations, domain wall fermions preserve the full chiral symmetry of the continuum at finite…

高能物理 - 唯象学 · 物理学 2009-10-31 George T. Fleming

An exact solution of one-dimensional lattice gauge theory at finite temperature and non-zero chemical potential is reviewed for the gauge groups $G=Z(N),U(N),SU(N)$ for all values of $N$ and the number of fermion flavors $N_f$. Calculated…

高能物理 - 格点 · 物理学 2024-10-08 O. Borisenko , V. Chelnokov , S. Voloshyn , P. Yefanov

We present first results for lattice simulations, on a single volume, of the low-lying spectrum of an SU(3) Yang-Mills gauge theory with ten light fermions in the fundamental representation. Fits to the fermion mass dependence of various…

Recently,problem of stability of H-atom has been reported in extra-finite dimension,and found out that it is stable in extra-finite dimension of size,$R\leq\frac{a_0}{4}$,where,$a_0$ is the Bohr radius.Assuming that,the heavy flavoured…

高能物理 - 唯象学 · 物理学 2019-02-07 Jugal Lahkar , D. K. Choudhury , S. Roy , N. S. Bordoloi

We consider a linear sigma model describing $2N_f^2$ bosons ($\sigma$, ${\bf a_0}$, $\eta '$ and ${\bf \pi}$) as an approximate effective theory for a $SU(3)$ local gauge theory with $N_f$ Dirac fermions in the fundamental representation.…

高能物理 - 格点 · 物理学 2017-12-20 Y. Meurice

After briefly reviewing the potential for the $N$-flavor Thirring model, formulated with reducible fermions in 2+1$d$, to exhibit a strongly-coupled UV-stable fixed point where U($2N$) symmetry is spontaneously broken by a fermion bilinear…

高能物理 - 格点 · 物理学 2023-11-27 Simon Hands , Jude Worthy

We perform a pilot study of the perturbative renormalization of a Supersymmetric gauge theory with matter fields on the lattice. As a specific example, we consider Supersymmetric ${\cal N}{=}1$ QCD (SQCD). We study the self-energies of all…

高能物理 - 格点 · 物理学 2017-08-16 M. Costa , H. Panagopoulos

The RI/MOM non-perturbative renormalization scheme is studied on the lattice in SU(3) quenched QCD with Wilson fermions. The gauge dependence of some fermion bilinear renormalization constants is discussed by comparing data which have been…

高能物理 - 格点 · 物理学 2009-11-07 L. Giusti , S. Petrarca , B. Taglienti , N. Tantalo

The mass anomalous dimension is determined in SU(2) gauge theory coupled to $N_f$ fermions in the adjoint representation for $N_f = 2$, $3/2$, $1$ and $1/2$, where half-integer flavor numbers correspond to Majorana fermions. The numerical…

高能物理 - 格点 · 物理学 2020-11-06 Camilo Lopez , Georg Bergner , Istvan Montvay , Stefano Piemonte

In continuum field theory, it has been discussed that chiral gauge theories with Weyl fermions in anomalous gauge representations (anomalous gauge theories) can consistently be quantized, provided that some of gauge bosons are permitted to…

高能物理 - 格点 · 物理学 2011-07-19 Yoshio Kikukawa , Hiroshi Suzuki

The quantum simulation of topological phases in (2+1)D quantum electrodynamics with Wilson fermions provides a promising route toward realizing topological phenomena in near-term lattice experiments. We show that the commonly used…

高能物理 - 格点 · 物理学 2026-03-09 Sriram Bharadwaj , Emil Rosanowski , Simran Singh , Alice di Tucci , Changnan Peng , Karl Jansen , Lena Funcke , Di Luo

We address the interplay between local and global symmetries in determining the continuum limit of two-dimensional lattice scalar theories characterized by $SO(N_c)$ gauge symmetry and non-Abelian $O(N_f)$ global invariance. We argue that,…

高能物理 - 格点 · 物理学 2022-05-25 Claudio Bonati , Alessio Franchi

We derive exact relations between certain integrals of the conserved flavor current four point function in 4d $\mathcal{N}=2$ conformal field theories (CFTs) and derivatives of the mass deformed sphere free energy, which can be computed…

高能物理 - 理论 · 物理学 2023-05-02 Shai M. Chester

Two-dimensional QCD with $N_c$ colors and $N_f$ flavors of massless fermions in the fundamental representation is expected to exhibit conformal behavior in the infrared governed by a $u(N_f)$ WZW model with level $N_c$. Using numerical…

高能物理 - 格点 · 物理学 2024-02-22 Nikhil Karthik , Rajamani Narayanan , Sruthi A. Narayanan

We study the SU(2) gauge theory on the lattice with different numbers of fermions in the fundamental representation of the gauge group to explore the gauge theory phase diagram. We find evidence for an infrared fixed point for ten flavors.…

高能物理 - 格点 · 物理学 2012-01-11 Tuomas Karavirta , Jarno Rantaharju , Kari Rummukainen , Kimmo Tuominen

The explicit breaking of chiral symmetry of the Wilson fermion action results in additive quark mass renormalization. Moreover, flavour singlet and non-singlet scalar currents acquire different renormalization constants with respect to…

高能物理 - 格点 · 物理学 2016-10-12 Gunnar S. Bali , Enno E. Scholz , Jakob Simeth , Wolfgang Söldner