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New spectral representations for f_\pi and chiral condensate are derived in QCD and used for calculations in the large N_c limit. Both quantities are expressed in this limit through string tension \sigma and gluon correlation length T_g…

High Energy Physics - Phenomenology · Physics 2009-11-10 Yu. A. Simonov

We study the vector-axialvector mixing in a hot medium and its evolution toward the chiral phase transition using different symmetry restoration scenarios based on the generalized hidden local symmetry framework. We show that the presence…

High Energy Physics - Phenomenology · Physics 2008-12-18 M. Harada , C. Sasaki , W. Weise

The method of the effective action for the composite operators $\Phi^2(x)$ and $\Phi^4(x)$ is applied to the termodynamics of the scalar quantum field with $\lambda\Phi^4$ interaction. An expansion of the finite temperature effective…

High Energy Physics - Theory · Physics 2015-06-26 Anna Okopińska

Measurements of transition form factors for the electro-excitation of nucleon resonances in the Q^2=5-14 GeV^2 region can provide one with the information on quark wave functions at small transverse separations. In particular a comparison…

High Energy Physics - Phenomenology · Physics 2017-08-23 V. M. Braun

Spectral functions encode a wealth of information about the dynamics of any given system, and the determination of their non-perturbative characteristics is a long-standing problem in quantum field theory. Whilst numerical simulations of…

High Energy Physics - Lattice · Physics 2022-11-03 Peter Lowdon , Owe Philipsen

It is shown that in vector-like gauge theories, such as QCD, and in the limit of a large number of colours Nc, the ordering pattern of narrow vector and axial-vector states at low energies is correlated with the size of the possible local…

High Energy Physics - Phenomenology · Physics 2010-04-06 M. Knecht , E. de Rafael

We present results for in-medium spectral functions obtained within the Functional Renormalization Group framework. The analytic continuation from imaginary to real time is performed in a well-defined way on the level of the flow equations.…

High Energy Physics - Phenomenology · Physics 2017-12-07 Jochen Wambach , Christopher Jung , Fabian Rennecke , Ralf-Arno Tripolt , Lorenz von Smekal

There has been considerable interest in properties of condensed matter at finite temperature, including non-equilibrium behavior and extreme conditions up to the warm dense matter regime. Such behavior is encountered, e.g., in experimental…

Materials Science · Physics 2021-07-28 Tun S. Tan , J. J. Kas , J. J. Rehr

Using the correlation function of the axial vector mesons, we present a QCD sum rule calculation for the decay constants f_pi and f_K. Our calculations are only weakly dependent on the SU(3) breaking-parameter for the QCD vacuum and give…

Nuclear Theory · Physics 2008-11-26 Seungho Choe , Su Houng Lee

The properties of mesonic resonances can be calculated in terms of the low-energy coefficients of chiral perturbation theory (chiPT) by extending unitarized chiPT to higher energies. On the other hand these low-energy coefficients can be…

High Energy Physics - Phenomenology · Physics 2007-05-23 Stefan Leupold

We investigate QCD at finite temperature in the quark composites approach, which is based on the use of quark composites with hadronic quantum numbers as fundamental variables. We find that chiral symmetry restoration and quark…

High Energy Physics - Lattice · Physics 2015-06-25 Fabrizio Palumbo

We estimate the splitting between the spatial correlation lengths in the scalar and pseudoscalar channels in QCD at high temperature. The splitting is due to the contribution of the instanton/anti-instanton chains in the thermal ensemble,…

High Energy Physics - Phenomenology · Physics 2010-11-11 Gerald V. Dunne , Alex Kovner

In this study, we are concerned with spectral problems of second-order vector dynamic equations with two-point boundary value conditions and mixed derivatives, where the matrix-valued coefficient of the leading term may be singular, and the…

Classical Analysis and ODEs · Mathematics 2010-01-25 Douglas R. Anderson

We analyze the approach to chiral symmetry breaking in QCD at finite temperature, using the functional renormalization group. We compute the running gauge coupling in QCD for all temperatures and scales within a simple truncated…

High Energy Physics - Phenomenology · Physics 2009-11-11 Jens Braun , Holger Gies

Temperature variations of the heat capacity (C) are studied in a low temperature regime for 2D-, and 3D-systems with N~100-10000 treated as a canonical ensemble of N-noninteracting fermions. The analysis of C is performed by introducing…

Mesoscale and Nanoscale Physics · Physics 2008-12-01 N. K. Kuzmenko , V. M. Mikhajlov

Recently, non-perturbative approximate solutions were presented that go beyond the well-known mean-field resummation. In this work, these non-perturbative approximations are used to calculate finite temperature equilibrium properties for…

High Energy Physics - Theory · Physics 2020-04-22 Paul Romatschke

We investigate the dynamic critical behaviour of a relativistic scalar field theory with $Z_2$ symmetry by calculating spectral functions of the order parameter at zero and non-vanishing momenta from first-principles classical-statistical…

High Energy Physics - Lattice · Physics 2020-11-26 Dominik Schweitzer , Sören Schlichting , Lorenz von Smekal

The chiral expansion of the $\pi\pi$ amplitude to the order of two loops was expressed in terms of six independent parameters in a previous paper: four of these are shown here to satisfy sum rules. Their derivation, where crossing symmetry…

High Energy Physics - Phenomenology · Physics 2009-10-28 M. Knecht , B. Moussallam , J. Stern , N. Fuchs

Using a novel resummation procedure of thermal loops, real-time correlations in the scalar and pseudo-scalar channels are studied in the O(4) linear sigma model at finite temperature. A threshold enhancement of the spectral function in the…

High Energy Physics - Phenomenology · Physics 2009-12-30 S. Chiku , T. Hatsuda

Disorder-driven, integrated speckle spectrometers offer exceptional spectral resolution within a compact design. They benefit from enhanced optical path lengths due to multiple light scattering events, however, often at the cost of low…