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The CPT anomaly, which was first seen in perturbation theory for certain four-dimensional chiral gauge theories, is also present in the exact result for a class of two-dimensional chiral U(1) gauge theories on the torus. Specifically, the…

High Energy Physics - Theory · Physics 2009-10-31 F. R. Klinkhamer , J. Nishimura

We investigate relations between the chiral susceptibility and axial $U(1)$ anomaly in lattice QCD at high temperatures. Employing the exactly chiral symmetric Dirac operator, we separate the purely axial $U(1)$ breaking effect in the…

High Energy Physics - Lattice · Physics 2024-03-27 S. Aoki , Y. Aoki , H. Fukaya , S. Hashimoto , I. Kanamori , T. Kaneko , Y. Nakamura , K. Suzuki , D. Ward

We explore patterns of effective restoration of the chiral U$_A$(1) symmetry using an extended three-flavor Nambu-Jona-Lasinio model that incorporates explicitly the axial anomaly through the 't Hooft interaction, and assuming that the…

High Energy Physics - Phenomenology · Physics 2007-05-23 Pedro Costa , M. C. Ruivo , C. A. de Sousa , Yu. L. Kalinovsky

Discovered in high-energy physics, the chiral anomaly has recently made way to materials science by virtue of Weyl semimetals (WSM). Thus far, the main efforts to probe the chiral anomaly in WSM have concentrated on electronic phenomena.…

Strongly Correlated Electrons · Physics 2017-09-14 Pierre Rinkel , Pedro L. S. Lopes , Ion Garate

We analyze (using a chiral effective Lagrangian model) the scalar and pseudoscalar meson mass spectrum of QCD at finite temperature, above the chiral transition at $T_c$, looking, in particular, for signatures of a possible breaking of the…

High Energy Physics - Phenomenology · Physics 2014-10-15 Enrico Meggiolaro

We study QCD-like four dimensional theories in the theoretically controlled framework of deformation theory and/or twisted partition function on S*1 x R*3. By using duality, we show that a class of one-flavor theories exhibit new physical…

High Energy Physics - Theory · Physics 2010-02-23 Erich Poppitz , Mithat Unsal

We investigate the confining pressure and associated global property, i.e, D-term, of the nucleon using the skyrmion approach formulated within scale-invariant chiral perturbation theory. In this framework, the nucleon is modeled as a…

High Energy Physics - Phenomenology · Physics 2025-08-05 Daisuke Fujii , Mamiya Kawaguchi , Mitsuru Tanaka

Above a pseudocritical temperature of chiral symmetry restoration T_c the energy and the pressure are very far from the quark-gluon-plasma limit (i.e. ideal gas of free quarks and gluons). At the same time very soon above T_c fluctuations…

High Energy Physics - Phenomenology · Physics 2020-07-22 L. Ya. Glozman

We study the interplay between chiral and diquark condensates within the framework of the Ginzburg-Landau free energy, and classify possible phase structures of two and three-flavor massless QCD. The QCD axial anomaly acts as an external…

High Energy Physics - Phenomenology · Physics 2007-05-23 Tetsuo Hatsuda , Motoi Tachibana , Naoki Yamamoto , Gordon Baym

The axion is one of the more interesting candidates to make the dark matter of the universe, and the axion potential plays a fundamental role in the determination of the dynamics of the axion field. Moreover, the way in which the $U(1)_A$…

High Energy Physics - Lattice · Physics 2018-04-18 Vicente Azcoiti

The flavor-singlet component of the eta prime meson is related to the topological structure of the SU(3) gauge field through the chiral anomaly. We perform a 2+1-flavor lattice QCD calculation and demonstrate that the two-point function of…

High Energy Physics - Lattice · Physics 2015-12-16 JLQCD collaboration , H. Fukaya , S. Aoki , G. Cossu , S. Hashimoto , T. Kaneko , J. Noaki

The generation of helical magnetic fields and the associated chiral asymmetry via the chiral anomaly is a generic feature in pseudoscalar inflation. In the presence of a Chern--Simons coupling between the inflaton and a U(1) gauge field,…

High Energy Physics - Phenomenology · Physics 2025-12-25 Di Wu , Yifan Hu , Kohei Kamada

We analyze causality and unitarity constraints in graviton scattering amplitudes, aiming to establish new bounds on theories with $U(1)$-gravitational anomalies, such as axion models or strongly-coupled gauge theories. For this purpose, we…

High Energy Physics - Theory · Physics 2025-01-15 Zi-Yu Dong , Teng Ma , Alex Pomarol , Francesco Sciotti

Effective gauge theories based on slave particle construction are widely used to describe quantum number fractionalization in strongly correlated electron systems. However, even setting aside the intense debates on the confinement issue of…

Strongly Correlated Electrons · Physics 2021-10-12 Tao Li

The finite temperature phase diagram of QCD with two massless quark flavors is not yet understood because of the subtle effects of anomalous $U_A(1)$ symmetry. In this work we address this issue by studying the fate of the anomalous…

High Energy Physics - Lattice · Physics 2021-12-07 Olaf Kaczmarek , Lukas Mazur , Sayantan Sharma

An analogous "Strong CP problem" is identified in a toy model in 2-dimensional spacetime: a general 1+1d abelian U(1) anomaly-free chiral fermion and chiral gauge theory with a generic theta instanton term $\frac{\theta}{2 \pi} \int F$. The…

High Energy Physics - Theory · Physics 2023-01-18 Juven Wang

We study the reasonable requirements of two anomalous $U(1)$s in a flavored-axion framework for the anomaly cancellations of both $U(1)$-mixed gravity and $U(1)_Y\times[U(1)]^2$ which in turn determine the $U(1)_Y$ charges where $U(1)_Y$ is…

High Energy Physics - Phenomenology · Physics 2020-10-28 Y. H. Ahn , Xiaojun Bi

In this Letter we report exact results on the infrared asymptotics of one-particle dynamical correlation function of the gas of impenetrable spin 1/2 fermions at infinitesimal temperature. The correlation function shows signs of spin-charge…

Strongly Correlated Electrons · Physics 2009-11-10 Vadim V. Cheianov , M. B. Zvonarev

It is shown that the QCD anomaly may lead to an abnormal mixing behavior of the axial vector mesons similar to the pseudoscalar mesons. These mixing effects, involving a gluonic axial vector state, generate a non-vanishing strange quark…

High Energy Physics - Phenomenology · Physics 2011-04-08 Michael Birkel , Harald Fritzsch

Single-spin asymmetry appears due to the interference of single and double gluon exchange between protons. A heavy fermion model is used to describe the jet production in the interaction of gluon with the proton implying the further…

High Energy Physics - Phenomenology · Physics 2008-11-26 A. Ahmedov , E. N. Antonov , E. Bartos , E. A. Kuraev , E. Zemlyanaya