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We use the Logarithmic Linear Relaxation (LLR) density of states algorithm to study the bulk phase transitions of pure-gauge SU($N$) lattice Yang--Mills theories with $4 \leq N \leq 8$. This approach avoids super-critical slowing down at…

High Energy Physics - Lattice · Physics 2023-11-20 Felix Springer , David Schaich , Enrico Rinaldi

The gradient flow of the Yang-Mills action acts pointwise on closed loops of gauge fields. We construct a topologically nontrivial loop of SU(2) gauge fields on S4 that is locally stable under the flow. The stable loop is written explicitly…

High Energy Physics - Theory · Physics 2010-08-24 Daniel Friedan

In this conference proceeding, we investigate the physical anisotropy in terms of the temporal and spatial lattice spacings in relation to the bare parameters of SU(2) pure gauge theory using Wilson gradient flow. Anisotropic lattices have…

High Energy Physics - Lattice · Physics 2023-12-14 Kirill Boguslavski , Paul Hotzy , David I. Müller , Dénes Sexty

We simulate four-dimensional center-stabilized lattice Yang-Mills theories on R^3 x S^1 with a newly developed pseudo-heatbath algorithm. We analyze the phase structure of such theories, namely the bulk transition and the spontaneous…

High Energy Physics - Lattice · Physics 2011-11-03 Helvio Vairinhos

We investigate the critical slowing down of the topological modes using local updating algorithms in lattice 2-d CP^(N-1) models. We show that the topological modes experience a critical slowing down that is much more severe than the one of…

High Energy Physics - Lattice · Physics 2009-11-10 Luigi Del Debbio , Gian Mario Manca , Ettore Vicari

We present an analysis of the quantum fluctuations around the electroweak sphaleron and calculate the associated determinant which gives the 1--loop correction to the sphaleron transition rate. The calculation differs in various technical…

High Energy Physics - Phenomenology · Physics 2009-10-22 J. Baacke , S. Junker

We apply a machine learning technique for identifying the topological charge of quantum gauge configurations in four-dimensional SU(3) Yang-Mills theory. The topological charge density measured on the original and smoothed gauge…

High Energy Physics - Lattice · Physics 2021-02-01 Takuya Matsumoto , Masakiyo Kitazawa , Yasuhiro Kohno

It is well known that the topology of gauge configurations generated in a Markov Monte-Carlo chain freezes as the continuum limit is approached. The corresponding autocorrelation time increases exponentially with the inverse lattice…

High Energy Physics - Lattice · Physics 2015-12-03 Alessandro Amato , Gunnar Bali , Biagio Lucini

We describe the results of a systematic high-statistics Monte-Carlo study of finite-size effects at the phase transition of compact U(1) lattice gauge theory with Wilson action on a hypercubic lattice with periodic boundary conditions. We…

High Energy Physics - Lattice · Physics 2011-07-19 Burkhard Klaus , Claude Roiesnel

In order to come closer to a realistic model of high-energy collisions, we simulate SU(2) lattice gauge theory under fluctuating temperature. The fluctuations are Euler-Gamma distributed, leading to a canonical state maximizing the Renyi…

High Energy Physics - Lattice · Physics 2011-05-11 Tamas S. Biro , Z. Schram

We present a detailed study of the properties of the phase transition in the four-dimensional compact U(1) lattice gauge theory supplemented by a monopole term, for values of the monopole coupling $\lambda$ such that the transition is of…

High Energy Physics - Lattice · Physics 2009-10-28 W. Kerler , C. Rebbi , A. Weber

We investigate the Higgs transition within the four dimensional $SU(2)-$ gauge-Higgs model in search for an order parameter as a function of the Higgs field hopping parameter, $\kappa$, using Lattice technique. We measure the Higgs…

High Energy Physics - Lattice · Physics 2023-02-01 Mridupawan Deka , Sanatan Digal

The infrared structure of SU(2) Yang-Mills theory is studied by means of lattice gauge simulations using a new constrained cooling technique. This method reduces the action while all Polyakov lines on the lattice remain unchanged. In…

High Energy Physics - Lattice · Physics 2015-03-17 Kurt Langfeld , Ernst-Michael Ilgenfritz

The phases of a lattice gauge model for the massive Yang-Mills are investigated. The phase diagram supports the recent conjecture on the large energy behavior of nonlinearly realized massive gauge theories (i.e. mass a` la Stueckelberg, no…

High Energy Physics - Lattice · Physics 2012-06-07 Ruggero Ferrari

A new order parameter is constructed for SU(2) lattice gauge theory in the context of the two-real-replica method normally used for spin glasses. The order parameter is sensitive to a global Z2 subgroup of the gauge symmetry which is seen…

High Energy Physics - Lattice · Physics 2010-03-29 Michael Grady

We calculate the electroweak sphaleron rates in the reduced minimal 3-3-1 (RM331) model. In the context of the early Universe, this model undergoes a sequence of two first-order phase transitions, $SU(3) \rightarrow SU(2)$ at the TeV scale…

High Energy Physics - Phenomenology · Physics 2015-06-22 Vo Quoc Phong , Hoang Ngoc Long , Vo Thanh Van , Nguyen Chi Thanh

We apply the previously-developed sub-volume method to study the $\theta$-dependence of the four-dimensional SU(2) Yang-Mills theory at finite temperature. We calculate the first two coefficients, the topological susceptibility $\chi$ and…

High Energy Physics - Lattice · Physics 2024-06-26 Norikazu Yamada , Masahito Yamazaki , Ryuichiro Kitano

From the time of CMB decoupling onwards we investigate cosmological evolution subject to a strongly interacting SU(2) gauge theory of Yang-Mills scale $\Lambda\sim 10^{-4}$ eV (masquerading as the $U(1)_{Y}$ factor of the SM at present).…

High Energy Physics - Theory · Physics 2008-11-26 Francesco Giacosa , Ralf Hofmann

The Hamiltonian reduction of SU(2) Yang-Mills theory for an arbitrary \theta angle to an unconstrained nonlocal theory of a self-interacting positive definite symmetric 3 \times 3 matrix field S(x) is performed. It is shown that, after…

High Energy Physics - Theory · Physics 2009-09-17 A. M. Khvedelidze , D. M. Mladenov , H. -P. Pavel , G. Röpke

The method of reduction of a non-Abelian gauge theory to the corresponding unconstrained system is exemplified for SU(2) Yang-Mills field theory. The reduced Hamiltonian which describes the dynamics of the gauge invariant variables is…

High Energy Physics - Theory · Physics 2007-05-23 A. M. Khvedelidze , H. -P. Pavel