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The role of the axial anomaly in the chiral phase transition at finite temperature and quark chemical potential is investigated within a non-perturbative functional renormalization group approach. The flow equation for the grand potential…

High Energy Physics - Phenomenology · Physics 2014-04-25 Mario Mitter , Bernd-Jochen Schaefer

We consider the thermodynamics of chiral models in the mean-field approximation and discuss the relevance of the (frequently omitted) fermion vacuum loop. Within the chiral quark-meson model and its Polyakov loop extended version, we show…

High Energy Physics - Phenomenology · Physics 2014-11-21 V. Skokov , B. Friman , E. Nakano , K. Redlich , B. -J. Schaefer

The thermal and nonthermal pion production by sigma decay and its relation with chiral symmetry restoration in a hot and dense matter are investigated. The nonthermal decay into pions of sigma mesons which are popularly produced in chiral…

Nuclear Theory · Physics 2009-11-10 Pengfei Zhuang

We discuss the chiral symmetry restoration at high temperature and chemical potential for a four-fermion interaction theory in arbitrary dimensions ($2\leq D<4$). To investigate the ground state of the theory we calculate the effective…

High Energy Physics - Phenomenology · Physics 2007-05-23 Tomohiro Inagaki

Majorana fermions are rising as a promising key component in quantum computation. While the prevalent approach is to use a quadratic (i.e. non-interacting) Majorana Hamiltonian, when expressed in terms of Dirac fermions, generically the…

Superconductivity · Physics 2015-09-24 Zhoushen Huang , P. Wolfle , A. V. Balatsky

Thermal behavior of effective, chiral condensate-dependent $U_A(1)$ anomaly couplings is investigated using the functional renormalization group approach in the $N_f = 3$ flavor meson model. We derive flow equations for anomaly couplings…

High Energy Physics - Phenomenology · Physics 2024-02-29 G. Fejos , A. Patkos

To date numerical simulations of lattice QCD have not found a chiral phase transition of first order which is expected to occur for sufficiently light pions. We show how the restoration of an exact global chiral symmetry can strongly…

High Energy Physics - Phenomenology · Physics 2024-07-25 Robert D. Pisarski , Fabian Rennecke

We study the effects of CP violation on the nature of the chiral transition within the linear sigma model with two flavors of quarks. The finite-temperature effective potential containing contributions from nontrivial values for the…

High Energy Physics - Phenomenology · Physics 2009-12-15 Ana Júlia Mizher , Eduardo S. Fraga

We calculate the $O(p^6)$ corrections to the anomalous form factors appearing in $\pi^+$, $K^+ \to e^+ \nu \gamma,\ \mu^+\nu\gamma$ and $K_{l4}$ decays in Chiral Perturbation Theory. The relevant dimension $6$ terms of the lagrangian are…

High Energy Physics - Phenomenology · Physics 2009-10-22 Ll. Ametller , J. Bijnens , A. Bramon , F. Cornet

The mesonic quantum fluctuations and their corrections on the chiral condensate and pion polarization function are investigated in the self-consistent scheme of SU(2) Nambu-Jona-Lasinio model by exactly calculating the next-to-leading order…

High Energy Physics - Phenomenology · Physics 2009-11-07 Mei Huang , Pengfei Zhuang , Weiqin Chao

Chiral symmetry represents a fundamental concept lying at the core of particle and nuclear physics. Its spontaneous breaking in vacuum can be exploited to distinguish chiral hadronic partners, whose masses differ. In fact, the features of…

High Energy Physics - Phenomenology · Physics 2021-08-13 Juan M. Torres-Rincon

We consider the O(N) linear {\sigma} model and introduce an auxiliary field to eliminate the scalar self-interaction. Using a suitable limiting process this model can be continuously transformed into the nonlinear version of the O(N) model.…

High Energy Physics - Phenomenology · Physics 2012-12-27 Elina Seel , Stefan Struber , Francesco Giacosa , Dirk H. Rischke

A non-perturbative method which combines constraints from chiral symmetry breaking and coupled channel unitarity is used to describe meson-meson interactions up to \sqrt{s}\lesssim 1.2 GeV, extending in this way the range of applicability…

High Energy Physics - Phenomenology · Physics 2009-10-31 J. A. Oller , F. Guerrero , E. Oset , J. R. Pelaez

We consider the rare decay $\eta\to\pi^0\pi^0\gamma\gamma$ and calculate the non-resonant contribution to the amplitude to one loop in Chiral Perturbation Theory. We display our result as both a diphoton energy spectrum and a partial decay…

High Energy Physics - Phenomenology · Physics 2009-10-28 S. Bellucci , G. Isidori

In the framework of an SU(3) (axial)vector meson extended linear sigma model with additional constituent quarks and Polyakov loops, we investigate the effects of (axial)vector mesons on the chiral phase transition. The parameters of the…

High Energy Physics - Phenomenology · Physics 2015-06-23 Péter Kovács , Zsolt Szép , György Wolf

We introduce novel relations between the derivatives [$\partial^{n}\rho(\lambda, m_{l})/\partial m_{l}^n$] of the Dirac eigenvalue spectrum [$\rho(\lambda, m_{l})$] with respect to the light sea quark mass ($m_{l}$) and the $(n+1)$-point…

High Energy Physics - Lattice · Physics 2021-02-25 H. -T. Ding , S. -T. Li , Swagato Mukherjee , A. Tomiya , X. -D. Wang , Y. Zhang

Theories with large mass anomalous dimensions ($\gamma_m$) have been extensively studied because of their deep consequences for models where the scalar bosons are composite. Large $\gamma_m$ values may appear when a non-Abelian gauge theory…

High Energy Physics - Phenomenology · Physics 2017-06-28 A. Doff , A. A. Natale

The three-dimensional four-fermion model with a Z_2 chiral symmetry and N=4 fermion species in the system is investigated numerically at non-zero temparature and chemical potential. The phase diagram in the (chemical potential, temperature)…

High Energy Physics - Lattice · Physics 2009-10-31 J. B. Kogut , C. G. Strouthos

We solve for the expectation values of chiral operators in supersymmetric U(N) gauge theories with matter in the adjoint, fundamental and anti-fundamental representations. A simple geometric picture emerges involving a description by a…

High Energy Physics - Theory · Physics 2010-04-07 Freddy Cachazo , Nathan Seiberg , Edward Witten

We compute the critical temperature for the chiral transition in the background of a magnetic field in the linear sigma model, including the quark contribution and the thermo-magnetic effects induced on the coupling constants at one loop…

High Energy Physics - Phenomenology · Physics 2015-01-14 Alejandro Ayala , M. Loewe , R. Zamora
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