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Related papers: Weinberg-Type Sum Rules at Zero and Finite Tempera…

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The Schwinger model at finite temperature is analyzed using the Thermofield Dynamics formalism. The operator solution due to Lowenstein and Swieca is generalized to the case of finite temperature within the thermofield bosonization…

High Energy Physics - Theory · Physics 2010-12-13 L. V. Belvedere , R. L. P. G. Amaral , K. D. Rothe , A. F. Rodrigues

Utilizing in-medium vector spectral functions which describe dilepton data in ultra-relativistic heavy-ion collisions, we conduct a comprehensive evaluation of QCD and Weinberg sum rules at finite temperature. The starting point is our…

High Energy Physics - Phenomenology · Physics 2015-06-17 Paul M. Hohler , Ralf Rapp

Infinite sets of sum rules involving the excitations of infinite nuclear matter are derived using only completeness, the current algebra implicit in QCD, and relativistic covariance. The sum rules can be used for isospin-asymmetric nuclear…

Nuclear Theory · Physics 2007-05-23 Thomas D. Cohen , Wojciech Broniowski

Exploiting Virasoro constraints on the effective finite-volume partition function, we derive generalized Leutwyler-Smilga spectral sum rules of the Dirac operator to high order. By introducing $N_v$ fermion species of equal masses, we next…

High Energy Physics - Theory · Physics 2009-10-31 P. H. Damgaard , K. Splittorff

We study CFTs at finite temperature and derive explicit sum rules for one-point functions of operators by imposing the KMS condition. In the case of a large gap between light and heavy operators, we explicitly compute one-point functions…

High Energy Physics - Theory · Physics 2024-08-29 Enrico Marchetto , Alessio Miscioscia , Elli Pomoni

Within the framework of the operator product expansion (OPE) and the renormalization group equation (RGE), we show that the temperature and chemical potential dependence of the zeroth moment of a spectral function (SF) in an asymptotically…

High Energy Physics - Phenomenology · Physics 2007-05-23 S. Huang , M. Lissia

Recently, Son and Stephanov have considered an "open moose" as a possible dual model of a QCD-like theory of chiral symmetry breaking. In this note we demonstrate that although the Weinberg sum rules are satisfied in any such model, the…

High Energy Physics - Phenomenology · Physics 2010-02-03 R. Sekhar Chivukula , Masafumi Kurachi , Masaharu Tanabashi

Within the framework of the operator product expansion (OPE) and the renormalization group equation (RGE), we show that the temperature and chemical potential dependence of the zeroth moment of a spectral function (SF) is completely…

High Energy Physics - Phenomenology · Physics 2011-01-04 Suzhou HUANG , Marcello LISSIA

By incorporating contributions from both the (chromo)electric scale $gT$ and (chromo)magnetic scale $g^2T$, we establish spectral sum rules of quarks for strongly coupled QCD that respect Fermi-Dirac statistics as required by quantum…

High Energy Physics - Theory · Physics 2024-12-31 Yi-Lun Du , Nan Su , Konrad Tywoniuk

In the leading order of the heavy quark expansion, we propose a method within the OPE and the trace formalism, that allows to obtain, in a systematic way, Bjorken-like sum rules for the derivatives of the elastic Isgur-Wise function…

High Energy Physics - Phenomenology · Physics 2011-01-25 A. Le Yaouanc , L. Oliver , J. -C. Raynal

The inverse eigenvalues of the Dirac operator in the Schwinger model satisfy the same Leutwyler-Smilga sum rules as in the case of QCD with one flavor. In this paper we give a microscopic derivation of these sum rules in the sector of…

High Energy Physics - Theory · Physics 2009-11-11 L. Shifrin , J. J. M. Verbaarschot

QCD sum rules serve as tools to investigate changing hadronic properties in a hot and/or dense nuclear medium. The role of chiral symmetry breaking and restoration effects in a medium can be addressed also in the heavy-light meson sector.…

Nuclear Theory · Physics 2016-01-20 Thomas Buchheim , Thomas Hilger , Burkhard Kampfer

We study the relevance of different renormalization schemes in Resonance Chiral Theory. The SS-PP correlator is explicitly computed at the one-loop level. Demanding the operator product expansion behaviour at short distances produces a new…

High Energy Physics - Phenomenology · Physics 2014-11-20 J. J. Sanz-Cillero , J. Trnka

By using thermal QCD sum rules to investigate the $\bar{\theta}$ induced neutron electric dipole moment $d_n$, we have examined the behaviour of broken CP symmetry at finite temperature. We find that, below the critical temperature, the…

High Energy Physics - Phenomenology · Physics 2009-11-07 Mohamed Chabab

A combination of finite energy sum rule techniques and Chiral Perturbation Theory (ChPT) is used in order to exploit recent ALEPH data on the non-strange tau vector (V) and axial-vector (A) spectral functions with respect to an experimental…

High Energy Physics - Phenomenology · Physics 2008-11-26 M. Davier , L. Girlanda , A. Hoecker , J. Stern

Recently, in Hilger et al. (2011) [1] QCD sum rules for chiral partners in the open-charm meson sector have been presented at nonzero baryon net density or temperature up to and including mass dimension 5. Referring to this, details…

Nuclear Theory · Physics 2015-03-19 Thomas Hilger , Thomas Buchheim , Burkhard Kampfer , Stefan Leupold

We study symmetry restoration at finite temperature in the standard model during the electroweak phase transition in the presence of a weak magnetic field. We compute the finite temperature effective potential up to the contribution of ring…

High Energy Physics - Phenomenology · Physics 2011-01-17 Jorge Navarro , Angel Sanchez , Maria Elena Tejeda-Yeomans , Alejandro Ayala , Gabriella Piccinelli

We generalize the sum rule approach to investigate the nonperturbative structure of QCD at high temperature. Salient features of the QCD phase above $T_c$ are discussed, and included in the form of power corrections or condensate…

High Energy Physics - Phenomenology · Physics 2021-10-26 Thors Hans Hansson , Ismail Zahed

In this paper we study a random matrix model with the chiral and flavor structure of the QCD Dirac operator and a temperature dependence given by the lowest Matsubara frequency. Using the supersymmetric method for random matrix theory, we…

High Energy Physics - Phenomenology · Physics 2009-10-28 A. D. Jackson , M. K. Şener , J. J. M. Verbaarschot

We model the effects of a large number of zero and near-zero modes in the QCD partition function by using sparse chiral matrix models with an emphasis on the quenched topological susceptibility in the choice of the measure. At finite…

High Energy Physics - Lattice · Physics 2009-10-31 Romuald A. Janik , Maciej A. Nowak , Gabor Papp , Ismail Zahed