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We formulate general conditions under which the strong CP problem is solved by spontaneous CP violation. Quark-mass matrix elements are polynomials in the CP-breaking order parameters, engineered such that their determinant is a real…

High Energy Physics - Phenomenology · Physics 2024-08-16 Ferruccio Feruglio , Matteo Parriciatu , Alessandro Strumia , Arsenii Titov

We consider the simulation of finite temperature QCD with two flavors of dynamical overlap fermions in order to study the suppression of the axial U(1) symmetry breaking at the chiral phase transition point. As a preliminary study, pure…

High Energy Physics - Lattice · Physics 2012-04-23 Guido Cossu , Sinya Aoki , Shoji Hashimoto , Takashi Kaneko , Hideo Matsufuru , Jun-ichi Noaki , Eigo Shintani

We report first calculations of the topological susceptibility measured using the field theoretic method on SU(3) gauge configurations produced by the UKQCD collaboration with two flavours of dynamical, improved, Wilson fermions. Using…

High Energy Physics - Lattice · Physics 2015-06-25 A. Hart , M. Teper

We study topology in Quantum Chromodynamics at high temperatures by means of lattice calculations. Simulations are performed with $N_f=2+1+1$ Wilson twisted mass fermions at maximal twist with physical quark masses, and temperatures…

High Energy Physics - Lattice · Physics 2025-09-08 A. Yu. Kotov , M. P. Lombardo , A. Trunin

We study $U_A(1)$ symmetry and its relation to chiral symmetry at finite temperature through the application of functional renormalization group to the $SU(3)$ quark meson model. Very different from the mass gap and mixing angel between…

High Energy Physics - Phenomenology · Physics 2016-04-13 Yin Jiang , Tao Xia , Pengfei Zhuang

Considered as a function of the quark mases, two-flavor QCD depends on three parameters, including one that is CP violating. As the masses vary to unphysical values, regions of both first- and second-order phase transitions are expected.…

High Energy Physics - Phenomenology · Physics 2011-10-20 Michael Creutz

We measure the topological charge and its fluctuation for the gauge configurations generated by the RBC and UKQCD Collaborations using 2+1 flavors of domain-wall fermions on the 16^3 x 32 lattice (L \simeq 2 fm) with length 16 in the fifth…

High Energy Physics - Lattice · Physics 2019-08-13 Ting-Wai Chiu , Tung-Han Hsieh , Po-Kai Tseng

We study the topological susceptibility and fourth cumulant of the QCD vacuum in a background magnetic field using three-flavor chiral perturbation theory ($\chi$PT) for arbitrary quark masses and $n$-flavor $\chi$PT with degenerate quark…

High Energy Physics - Phenomenology · Physics 2022-08-17 Prabal Adhikari

The quark mass dependence of meson masses and decay constants in N_f=2 QCD is studied at a fixed gauge coupling with different dynamical quark masses. Partially Quenched Wilson Chiral Perturbation Theory (PQWchiPT) is applied to obtain the…

High Energy Physics - Lattice · Physics 2009-11-10 q Collaboration , F. Farchioni , I. Montvay , E. Scholz

We have investigated the quark sector of quenched QCD for 1.5\le T/Tc\le3 in the continuum limit, using two different lattice discretisations of quarks and extrapolating from lattice spacings between 1/4T and 1/14T. At these temperatures,…

High Energy Physics - Lattice · Physics 2009-11-07 Rajiv V. Gavai , Sourendu Gupta

In this work we compute the axion mass and, from this (exploiting a well-known relation), we also derive an expression for the QCD topological susceptibility in the finite-temperature case, both below and above the chiral phase transition…

High Energy Physics - Phenomenology · Physics 2020-08-04 Salvatore Bottaro , Enrico Meggiolaro

The infamous strong CP problem in particle physics can in principle be solved by a massless up quark. In particular, it was hypothesized that topological effects could substantially contribute to the observed nonzero up-quark mass without…

High Energy Physics - Lattice · Physics 2021-03-02 Constantia Alexandrou , Jacob Finkenrath , Lena Funcke , Karl Jansen , Bartosz Kostrzewa , Ferenc Pittler , Carsten Urbach

Recent lattice data from CP-PACS, UKQCD, SESAM/TXL and the Pisa group regarding the quark mass dependence of the topological susceptibility in 2-flavour QCD are compared to each other and to theoretical expectations. The latter get…

High Energy Physics - Lattice · Physics 2009-11-07 Stephan Dürr

We show that, if the formula for the topological charge density operator suggested by fermions obeying the Ginsparg-Wilson relation is employed, it is possible to give a precise and unambiguous definition of the topological susceptibility…

High Energy Physics - Lattice · Physics 2009-11-10 L. Giusti , G. C. Rossi , M. Testa

Detailed analysis shows that the phase of a complex mass term of a quark does not violate CP, while the QCD vacuum angle can naturally be set equal to zero. There is no strong CP problem and no need for axions or similar speculative…

High Energy Physics - Phenomenology · Physics 2007-05-23 P. Mitra

The chemical potential ($\mu$) dependence of the topological susceptibility with two-color two-flavor QCD is studied. We find that at temperature $T \approx T_c /2$, where $T_c$ denotes the critical temperature at zero chemical potential,…

High Energy Physics - Lattice · Physics 2018-12-05 Etsuko Itou , Kei Iida , Tong-Gyu Lee

We investigate the flavour structure of generic extensions of the SM where quark and lepton mass hierarchies and the suppression of flavour-changing transitions originate only by the normalization constants of the fermion kinetic terms. We…

High Energy Physics - Phenomenology · Physics 2008-11-26 Sacha Davidson , Gino Isidori , Selma Uhlig

We perform hybrid Monte-Carlo (HMC) simulation of lattice QCD with $N_f=2+1+1$ domain-wall quarks at the physical point, on the $64^3 \times (64,20,16,12,10,8,6)$ lattices, each with three lattice spacings. The lattice spacings and the bare…

High Energy Physics - Lattice · Physics 2022-10-13 Yu-Chih Chen , Ting-Wai Chiu , Tung-Han Hsieh

The topological susceptibility is one of the few physical quantities that directly measure the properties of the QCD vacuum. Chiral perturbation theory predicts that in the small quark mass limit the topological susceptibility depends…

High Energy Physics - Lattice · Physics 2009-11-07 Anna Hasenfratz

The behaviour of the topological susceptibility \chi in QCD with two colours and 8 flavours of quarks is studied at nonzero temperature on the lattice across the finite density transition. It is shown that the signal of \chi drops abruptly…

High Energy Physics - Lattice · Physics 2008-11-26 B. Alles , M. D'Elia , M. P. Lombardo