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We present an overview on nonperturbative thermodynamics in the deconfining phase of an SU(2) Yang-Mills theory. In a unique effective theory the maximal resolution of trivial-topology fluctuations is constrained by coarse-grained,…

High Energy Physics - Theory · Physics 2017-08-23 Ralf Hofmann

The Euclidean formulation of SU(2) Yang-Mills thermodynamics admits periodic, (anti)selfdual solutions to the fundamental, classical equation of motion which possess one unit of topological charge: (anti)calorons. A spatial coarse graining…

High Energy Physics - Theory · Physics 2016-05-02 Thierry Grandou , Ralf Hofmann

The thesis is considering aspects of SU(2) Yang-Mills thermodynamics in its deconfining high-temperature phase. We calculate the two-point correlation function of the energy density of the photon in a thermalized gas, at first in the…

High Energy Physics - Theory · Physics 2008-12-15 Jochen Keller

We review and explain essential characteristics of the a priori estimate of the thermal ground state and its excitations in the deconfining phase of SU(2) Quantum Yang-Mills thermodynamics. This includes the spatially central and peripheral…

General Physics · Physics 2018-08-07 Ralf Hofmann

For a pure SU(2) Yang-Mills theory in 4D we revisit the spatial (3D), ball-like region of radius $r_0$, in its bulk subject to the pressureless, deconfining phase at $T_0=1.32\,T_c$ where $T_c$ denotes the critical temperature for the onset…

High Energy Physics - Theory · Physics 2022-02-09 Thierry Grandou , Ralf Hofmann

We propose an analytical approach to SU(2) Yang-Mills thermodynamics. The existence of a macroscopic and rigid adjoint Higgs field, generated by dilute trivial-holonomy calorons at large temperature $T$ (electric phase), implies a twofold…

High Energy Physics - Phenomenology · Physics 2017-08-23 Ralf Hofmann

Phase and modulus of an energy- and pressure-free, composite and adjoint field in an SU(2) Yang-Mills theory are computed. This field is generated by trivial holonomy calorons of topological charge one. It possesses nontrivial $S_1$-winding…

High Energy Physics - Theory · Physics 2007-05-23 Ulrich Herbst

The quantum of action $\hbar$, multiplying in certain powers perturbative vertices in 4D gauge theory, is related to the action of just-not-resolved selfdual and thermal gauge field configurations, calorons and anticalorons, of charge…

General Physics · Physics 2012-11-09 Ralf Hofmann , Dariush Kaviani

We investigate the behavior of the retarded Green's function of a U(1) gauge field in holographic N=4 Super Yang-Mills plasma, taking the leading strong coupling corrections into account. First, we use the thermal limit of this quantity to…

High Energy Physics - Phenomenology · Physics 2013-04-12 Dominik Steineder , Stefan A. Stricker , Aleksi Vuorinen

Calorons and plane waves within and in between them {\sl collectively} give rise to a thermal ground state. The latter provides a homgeneous energy density and a negative pressure, and it induces quasiparticle masses to part of the…

General Physics · Physics 2015-06-11 Ralf Hofmann

We device an efficient book-keeping of excluded energy-sign and scattering-channel combinations for the loop four-momenta associated with massive quasi-particles, circulating in (connected) bubble diagrams subject to vertex constraints…

High Energy Physics - Theory · Physics 2017-07-21 Ingolf Bischer , Thierry Grandou , Ralf Hofmann

We derive an a useful priori estimate for the thermal ground state of deconfining phase of SU(2) Yang-Mills thermodynamics in four-dimensional, flat spacetime and discuss its implications. Upon a selfconsistent spatial coarse-graining over…

High Energy Physics - Theory · Physics 2011-09-28 Ralf Hofmann

In this work we show the step by step calculations needed to quantify the contribution of a three-loop order diagram with dihedral symmetry to the radiative corrections of the pressure in SU(2) thermal Yang-Mills theory in deconfining…

High Energy Physics - Theory · Physics 2020-05-15 Luca Campobasso

We propose that the one-fold selfintersecting center-vortex loop, being the stable excitation in the confining phase of SU(2) Yang-Mills thermodynamics of scale $\Lambda\sim 0.5\,$MeV, after an electric-magnetically dual interpretation of…

General Physics · Physics 2018-07-18 Ralf Hofmann

We review how vertex constraints inherited from the thermal ground state strongly reduce the integration support of loop four-momenta associated with massive quasi-particles in bubble diagrams constituting corrections to the free thermal…

High Energy Physics - Theory · Physics 2017-10-11 Ingolf Bischer

We argue that a selfconsistent spatial coarse-graining, which involves interacting (anti)calorons of unit topological charge modulus, implies that real-time loop expansions of thermodynamical quantities in the deconfining phase of SU(2) and…

High Energy Physics - Theory · Physics 2015-06-26 Ralf Hofmann

We calculate thermal corrections to the non-linear QED effective action for low-energy photon interactions in a background electromagnetic field. The high-temperature expansion shows that at $T \gg m$ the vacuum contribution is exactly…

High Energy Physics - Phenomenology · Physics 2009-10-31 Per Elmfors , Bo-Sture Skagerstam

We compute the two-loop corrections to the thermodynamical pressure of an SU(2) Yang-Mills theory being in its electric phase. Our results prove that the one-loop evolution of the effective gauge coupling constant is reliable for any…

High Energy Physics - Theory · Physics 2007-05-23 U. Herbst , R. Hofmann , J. Rohrer

In the first part of this talk we review some prerequisites for and essential arguments involved in the construction of the thermal-ground-state estimate for the deconfining phase in the thermodynamics of SU(2) Quantum Yang-Mills theory and…

General Physics · Physics 2018-11-27 Ralf Hofmann

We compute the two-point correlation of the energy density for the massless mode in deconfining SU(2) Yang-Mills thermodynamics and point towards a possible application for the physics of cold, dilute, and stable clouds of atomic hydrogen…

High Energy Physics - Theory · Physics 2009-02-11 Jochen Keller , Ralf Hofmann , Francesco Giacosa
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