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Related papers: 3-loop 3PI effective action for 3D SU(3) QCD

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Diagrammatic techniques are invented to implement QCD gauge transformations. These techniques can be used to discover how gauge-dependent terms are cancelled among diagrams to yield gauge-invariant results in the sum. In this way a…

High Energy Physics - Phenomenology · Physics 2016-09-01 Y. J. Feng , C. S. Lam

The QCD free energy can be studied by dimensional reduction to a three-dimensional (3d) effective theory, whereby non-perturbative lattice simulations become less demanding. To connect to the original QCD a perturbative matching computation…

High Energy Physics - Lattice · Physics 2007-05-23 C. Torrero , F. Di Renzo , V. Miccio , M. Laine , Y. Schroder

We update Monte Carlo simulations of the three-dimensional SU(3) + adjoint Higgs theory, by extrapolating carefully to the infinite volume and continuum limits, in order to estimate the contribution of the infrared modes to the pressure of…

High Energy Physics - Lattice · Physics 2009-03-12 A. Hietanen , K. Kajantie , M. Laine , K. Rummukainen , Y. Schroder

We review the construction and basic properties of a three-dimensional effective field theory for high-temperature SU(3) Yang-Mills theory, which respects its center symmetry and was introduced in hep-ph/0604100. We explain why the phase…

High Energy Physics - Phenomenology · Physics 2008-11-26 A. Vuorinen

We calculate the thermodynamic functions of pure-glue QCD to three-loop order using the hard-thermal-loop perturbation theory (HTLpt) reorganization of finite temperature quantum field theory. We show that at three-loop order…

High Energy Physics - Phenomenology · Physics 2010-09-16 Jens O. Andersen , Nan Su , Michael Strickland

Motivated by isotropization of QCD matter in the initial stages of heavy-ion collisions, we consider a system of scalar fields that undergoes a boost invariant longitudinal expansion. We use the framework of the two-particle irreducible…

High Energy Physics - Phenomenology · Physics 2024-03-19 François Gelis , Sigtryggur Hauksson

It is well known that perturbative pressure calculations show poor convergence. Calculations using a two particle irreducible (2PI) effective action show improved convergence at the 3 loop level, but no calculations have been done at 4…

High Energy Physics - Theory · Physics 2016-07-20 M. E. Carrington , B. A. Meggison , D. Pickering

We derive the quantum effective action up to second order in gradients and up to two-loop order for an interacting scalar field theory. This expansion of the effective action is useful to study problems in cosmological settings where…

High Energy Physics - Theory · Physics 2024-09-17 Sofia Canevarolo , Tomislav Prokopec

In this letter we will dicuss the possibility of a resummation procedure in order to cure the UV/IR-mixing problem of noncommutative field theories. The method is presented for a scalar phi^4 theory on Euclidean space. Finally, we sketch…

High Energy Physics - Theory · Physics 2009-11-10 F. Aigner , M. Hillbrand , J. Knapp , G. Milovanovic , V. Putz , R. Schöfbeck , M. Schweda

We study a three dimensional Z(3)-symmetric effective theory of high temperature QCD. The exact lattice-continuum relations, needed in order to perform lattice simulations with physical parameters, are computed to order O(a^0) in lattice…

High Energy Physics - Lattice · Physics 2008-11-26 A. Kurkela

We calculate the three-loop thermodynamic potential of QCD at finite temperature and chemical potential(s) using the hard-thermal-loop perturbation theory (HTLpt) reorganization of finite temperature and density QCD. The resulting analytic…

High Energy Physics - Phenomenology · Physics 2016-03-15 Najmul Haque , Aritra Bandyopadhyay , Jens O. Andersen , Munshi G. Mustafa , Michael Strickland , Nan Su

A concise method is presented for the non-perturbative computation of the counterterms renormalising 2PI-actions. The procedure is presented for a real scalar field up to lambda^2 order in the skeleton truncation of Gamma_2PI with respect…

High Energy Physics - Phenomenology · Physics 2009-11-13 A. Patkos , Zs. Szep

This dissertation is devoted to the study of thermodynamics for quantum gauge theories. The poor convergence of quantum field theory at finite temperature has been the main obstacle in the practical applications of thermal QCD for decades.…

High Energy Physics - Phenomenology · Physics 2011-05-09 Nan Su

We study gauge theories with N=1 supersymmetry in 2+1 dimensions. We start by calculating the 1-loop effective superpotential for matter in an arbitrary representation. We then restrict ourselves to gauge theories with fundamental matter.…

High Energy Physics - Theory · Physics 2018-11-14 Changha Choi , Martin Rocek , Adar Sharon

In a previous paper (JHEP {\bf 05} (2014) 27), we calculated the three-loop thermodynamic potential of QCD at finite temperature $T$ and quark chemical potentials $\mu_q$ using the hard-thermal-loop perturbation theory (HTLpt)…

High Energy Physics - Phenomenology · Physics 2016-04-06 Jens O. Andersen , Najmul Haque , Munshi G. Mustafa , Michael Strickland

The quantum chromodynamics (QCD) phase diagram, which reveals the state of strongly interacting matter at different temperatures and densities, is key to answering open questions in physics, ranging from the behavior of particles in neutron…

I review the use of the 2PI effective action in nonequilibrium quantum field theory. The approach enables one to find approximation schemes which circumvent long-standing problems of non-thermal or secular (unbounded) late-time evolutions…

High Energy Physics - Phenomenology · Physics 2017-08-23 J. Berges

We develop a systematic method for solving the 3-loop $\Phi$-derivable approximation to the thermodynamics of the massless $\phi^4$ field theory. The method involves expanding sum-integrals in powers of $g^2$ and m/T, where g is the…

High Energy Physics - Phenomenology · Physics 2009-11-07 Eric Braaten , Emmanuel Petitgirard

New terms are derived for the three-dimensional effective action of the static modes of pure gauge SU(N) at high temperature. In previous works, effective vertices have been obtained by evaluating diagrams involving 2, 3 or 4 external…

High Energy Physics - Phenomenology · Physics 2010-11-01 Scott Chapman

The two-loop effective action for the SU(3) gauge model in a constant background field ${\bar A}_0(x,t)=B_0^3T_3+B_0^8T_8$ is recalculated for a gauge with an arbitrary $\xi$-parameter. The gauge-invariant thermodynamical potential is found…

High Energy Physics - Theory · Physics 2009-10-22 O. K. Kalashnikov