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The line of phase transitions, separating the confinement and the Coulomb phases in the four-dimensional pure compact U(1) gauge theory with extended Wilson action, is reconsidered. We present new numerical evidence that a part of this…

High Energy Physics - Lattice · Physics 2009-10-28 J. Jersak , C. B. Lang , T. Neuhaus

We describe an application of the linear $\de$-expansion to the calculation of correlation functions in SU(2)-Higgs lattice gauge theory. A significant advantage of the technique is that an infinite volume lattice may be used, allowing the…

High Energy Physics - Phenomenology · Physics 2007-05-23 T. S. Evans , H. F. Jones , A. Ritz

We compute the bare step-scaling function $s_b$ for SU(3) lattice gauge theory with $N_f = 12$ massless fundamental fermions, using the non-perturbative Wilson-flow-optimized Monte Carlo Renormalization Group two-lattice matching technique.…

High Energy Physics - Lattice · Physics 2022-09-21 Gregory Petropoulos , Anqi Cheng , Anna Hasenfratz , David Schaich

We examine the N=2 Wess-Zumino model defined on the $d=2$ Euclidean lattice in connection with a restoration of the Leibniz rule in the limit $a\to0$ in perturbatively finite theory. We are interested in the difference between the Wilson…

High Energy Physics - Lattice · Physics 2009-11-07 Kazuo Fujikawa

We explore exact generalized symmetries in the standard 2+1d lattice $\mathbb{Z}_2$ gauge theory coupled to the Ising model, and compare them with their continuum field theory counterparts. One model has a (non-anomalous) non-invertible…

Strongly Correlated Electrons · Physics 2025-01-15 Yichul Choi , Yaman Sanghavi , Shu-Heng Shao , Yunqin Zheng

Embedding the lattice gauge theory into a continuum theory allows to use the continuum action as trial action in the variational calculation. Only originally divergent graphs contribute. This leads to a very simple scheme which makes it…

High Energy Physics - Lattice · Physics 2007-05-23 Iring Bender , Dieter Gromes

We use lattice simulations and the continuous renormalization-group method, based on the gradient flow, to calculate the $\beta$ function and anomalous dimensions of the SU(3) gauge theory with $N_f=10$ flavors of fermions in the…

High Energy Physics - Lattice · Physics 2023-06-21 Anna Hasenfratz , Ethan T. Neil , Yigal Shamir , Benjamin Svetitsky , Oliver Witzel

We consider the role that gauge symmetry breaking terms play on the continuum limit of gauge theories in three dimensions. As a paradigmatic example we consider scalar electrodynamics in which $N_f$ complex scalar fields interact with a…

High Energy Physics - Lattice · Physics 2021-10-18 Claudio Bonati , Andrea Pelissetto , Ettore Vicari

We present the investigation of the strong bare-coupling regime of SU(2) lattice gauge theory with 8 fermion flavors in the fundamental representation. The simulations are performed with unimproved staggered fermions and the plaquette gauge…

High Energy Physics - Lattice · Physics 2014-12-18 Cynthia Y. -H. Huang , C. -J. David Lin , Kenji Ogawa , Hiroshi Ohki , Enrico Rinaldi

We have measured the running coupling constant of SU(3) gauge theory coupled to Nf=2 flavors of symmetric representation fermions, using the Schrodinger functional scheme. Our lattice action is defined with hypercubic smeared links which,…

High Energy Physics - Lattice · Physics 2014-11-21 Thomas DeGrand , Yigal Shamir , Benjamin Svetitsky

SU(2) lattice gauge theory with four flavors of quarks is simulated at nonzero chemical potential $\mu$ and temperature $T$ and the results are compared to the predictions of Effective Lagrangians. Simulations on $16^4$ lattices indicate…

High Energy Physics - Lattice · Physics 2009-11-07 John B. Kogut , Dominique Toublan , D. K. Sinclair

According to the preceding studies, the lattice SU(2) gauge-scalar model with a single scalar field in the fundamental representation of the gauge group has a single confinement-Higgs phase where confinement and Higgs regions are subregions…

High Energy Physics - Lattice · Physics 2024-03-26 Ryu Ikeda , Seikou Kato , Kei-Ichi Kondo , Akihiro Shibata

Starting from the strong-coupling SU(2) Wilson action in D=3 dimensions, we derive an effective, semi-local action on a lattice of spacing L times the spacing of the original lattice. It is shown that beyond the adjoint color-screening…

High Energy Physics - Lattice · Physics 2009-10-31 M. Faber , J. Greensite , S. Olejnik

We investigate the phase diagram and finite-temperature transitions of three-dimensional scalar SO(Nc) gauge theories with Nf scalar flavors. These models are constructed starting from a maximally O(N)-symmetric multicomponent scalar model…

Statistical Mechanics · Physics 2021-01-01 Claudio Bonati , Andrea Pelissetto , Ettore Vicari

We study the ground-state properties of a class of $\mathbb{Z}_n$ lattice gauge theories in 1 + 1 dimensions, in which the gauge fields are coupled to spinless fermionic matter. These models, stemming from discrete representations of the…

Quantum Physics · Physics 2018-10-08 Elisa Ercolessi , Paolo Facchi , Giuseppe Magnifico , Saverio Pascazio , Francesco V. Pepe

The notion of the integral over the anticommuting Grassmann variables is applied to analyze the fermionic structure of the 2D Ising model with quenched site dilution. In the $N$-replica scheme, the model is explicitly reformulated as a…

High Energy Physics - Theory · Physics 2007-05-23 V. N. Plechko

In infinite volume the gradient flow transformation can be interpreted as a continuous real-space Wilsonian renormalization group (RG) transformation. This approach allows one to determine the continuous RG $\beta$ function, an alternative…

High Energy Physics - Lattice · Physics 2021-09-21 Curtis T. Peterson , Anna Hasenfratz , Jake van Sickle , Oliver Witzel

For N>4 there is a first order bulk transition that cleanly separates the strong and weak coupling regimes of SU(N) lattice gauge theories with the plaquette action. We find that in this case the calculated string tension can be readily…

High Energy Physics - Lattice · Physics 2008-11-26 Chris Allton , Michael Teper , Aurora Trivini

Three-dimensional gapless semiconductors with quadratic band touching, such as HgTe, $\alpha$-Sn, or Pr$_2$Ir$_2$O$_7$ are believed to display a non-Fermi-liquid ground state due to long-range electron-electron interaction. We argue that…

Strongly Correlated Electrons · Physics 2016-04-07 Lukas Janssen , Igor F. Herbut

We perform a numerical study of the phase transitions in three-dimensional Z(N) lattice gauge theories at finite temperature for N>4. Using the dual formulation of the models and a cluster algorithm we locate the position of the critical…

High Energy Physics - Lattice · Physics 2015-06-12 O. Borisenko , V. Chelnokov , G. Cortese , M. Gravina , A. Papa , I. Surzhikov