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We measure the sphaleron rate for hot, classical Yang-Mills theory on the lattice, in order to study its dependence on lattice spacing. By using a topological definition of Chern-Simons number and going to extremely fine lattices (up to…

High Energy Physics - Phenomenology · Physics 2009-10-31 Guy D. Moore , Kari Rummukainen

Global topological charge decorrelates very slowly or even freezes in fine lattice simulations. On the other hand, its local fluctuations are expected to survive and lead to the correct physical results as long as the volume is large…

High Energy Physics - Lattice · Physics 2014-11-17 JLQCD collaboration , H. Fukaya , S. Aoki , G. Cossu , S. Hashimoto , T. Kaneko , J. Noaki

Sphaleron heating has been recently proposed as a mechanism to realize warm inflation when inflaton is an axion coupled to pure Yang-Mills. As a result of heating, there is a friction coefficient $\gamma \propto T^3$ in the equation of…

Cosmology and Nongalactic Astrophysics · Physics 2023-02-28 Mehrdad Mirbabayi , Andrei Gruzinov

We develop a discrete lattice implementation of the hard thermal loop effective action by the method of added auxiliary fields. We use the resulting model to measure the sphaleron rate (topological susceptibility) of Yang-Mills theory at…

High Energy Physics - Phenomenology · Physics 2011-05-05 D. Bodeker , Guy D. Moore , K. Rummukainen

Using the AdS/CFT correspondence, we compute the spectral functions of thermal super Yang Mills at large N_c coupled to a small number of flavours of fundamental matter, N_f<<N_c, in the presence of a nonzero baryon density. The holographic…

High Energy Physics - Theory · Physics 2009-12-07 Javier Mas , Jonathan P. Shock , Javier Tarrio , Dimitrios Zoakos

We use the gauge-gravity duality conjecture to compute spectral functions of the stress-energy tensor in finite temperature N=4 supersymmetric Yang-Mills theory in the limit of large Nc and large coupling. The spectral functions exhibit…

High Energy Physics - Theory · Physics 2009-11-11 Pavel Kovtun , Andrei Starinets

A numerical study of a pseudoscalar inflation having an axion-photon-like coupling is performed by solving numerically the coupled differential equations of motion for inflaton and photon mode functions from the onset of inflation to the…

Cosmology and Nongalactic Astrophysics · Physics 2016-03-23 Shu-Lin Cheng , Wolung Lee , Kin-Wang Ng

We study the topological charge density distribution using the two-dimensional $CP^{N-1}$ model. We numerically compute not only the topological susceptibility, which is a spatially global quantity to probe topological properties of the…

High Energy Physics - Lattice · Physics 2020-02-05 Yuya Abe , Kenji Fukushima , Yoshimasa Hidaka , Hiroaki Matsueda , Koichi Murase , Shoichi Sasaki

We offer the Skyrme model on a lattice as an effective field theory - fully quantized - of baryon-meson interactions at temperatures below the chiral phase transition. We define a local topological density that involves the volumes of…

High Energy Physics - Lattice · Physics 2009-10-31 Alec J. Schramm , Benjamin Svetitsky

We present first results of our study on the Euclidean topological charge density correlation function. In order to get a well defined topological charge density and to improve the signal of the correlation function at large separations we…

High Energy Physics - Lattice · Physics 2020-02-03 Lukas Mazur , Luis Altenkort , Olaf Kaczmarek , Hai-Tao Shu

We show how the sphaleron rate (the Minkowski rate for topological charge diffusion) can be determined by analytical continuation of the Euclidean topological-charge-density two-point function, which we investigate on the lattice, using…

High Energy Physics - Lattice · Physics 2021-07-01 Luis Altenkort , Alexander M. Eller , Olaf Kaczmarek , Lukas Mazur , Guy D. Moore , Hai-Tao Shu

We study topology in Quantum Chromodynamics at high temperatures by means of lattice calculations. Simulations are performed with $N_f=2+1+1$ Wilson twisted mass fermions at maximal twist with physical quark masses, and temperatures…

High Energy Physics - Lattice · Physics 2025-09-08 A. Yu. Kotov , M. P. Lombardo , A. Trunin

Inspired by recent lattice measurements, we determine the short-distance (a << r << 1/pi T) as well as large-frequency (1/a >> omega >> pi T) asymptotics of scalar (trace anomaly) and pseudoscalar (topological charge density) correlators at…

High Energy Physics - Phenomenology · Physics 2010-12-09 M. Laine , M. Vepsalainen , A. Vuorinen

We present a novel method for defining the topological charge contained within distinct topological objects in the nontrivial ground-state fields of SU(N) lattice gauge theory. Such an analysis has been called for by the growing number of…

High Energy Physics - Lattice · Physics 2025-04-04 Jackson A. Mickley , Waseem Kamleh , Derek B. Leinweber

We determine the sphaleron transition rate using real time lattice simulations of the classical system. An improved definition of the lattice topological charge allows us to obtain a more reliable estimate of the transition rate. For an…

High Energy Physics - Phenomenology · Physics 2009-10-30 J. Ambjorn , A. Krasnitz

Motivated by applications in thermal QCD and cosmology, we elaborate on a general method for computing next-to-leading order spectral functions for composite operators at vanishing spatial momentum, accounting for real, virtual as well as…

High Energy Physics - Phenomenology · Physics 2015-05-30 M. Laine , A. Vuorinen , Y. Zhu

We develop a new method to determine thermal activation rates, such as for bubble nucleation, topology change, \textsl{etc.}, using 4-dimensional Euclidean methods. This allows nonperturbative study on the lattice. We then investigate the…

High Energy Physics - Lattice · Physics 2023-02-01 Marc Barroso Mancha , Guy D. Moore

We present a numerical integration of the cosmological scalar perturbation equations in warm inflation. The initial conditions are provided by a discussion of the thermal fluctuations of an inflaton field and thermal radiation using a…

Astrophysics · Physics 2009-11-07 Lisa M. H. Hall , Ian G. Moss , Arjun Berera

The strong sphaleron rate, i.e., the rate of real time QCD topological transitions, is a key phenomenological quantity, playing a fundamental role in several physical contexts. In heavy-ion collisions, a non-vanishing rate can lead to the…

High Energy Physics - Lattice · Physics 2024-05-10 Claudio Bonanno , Francesco D'Angelo , Massimo D'Elia , Manuel Naviglio , Lorenzo Maio

We measure the sphaleron rate (topological susceptibility) of hot SU(2) gauge theory, using a lattice implementation of the hard thermal loop (HTL) effective action. The HTL degrees of freedom are implemented by an expansion in spherical…

High Energy Physics - Lattice · Physics 2015-06-25 D. Bodeker , G. D. Moore , K. Rummukainen
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