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Related papers: A Solution to the Strong CP Problem

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Quantum Chromodynamics admits a CP-violating contribution to the action, the $\theta$ term, which is expected to give rise to a nonvanishing electric dipole moment of the neutron. Despite intensive search, no CP violations have been found…

High Energy Physics - Phenomenology · Physics 2025-04-07 Gerrit Schierholz

The QED(0+1) model describing a quantum mechanical particle on a circle with minimal electromagnetic interaction and with a potential -M cos(phi - theta_M), which mimics the massive Schwinger model, is discussed as a prototype of mechanisms…

High Energy Physics - Theory · Physics 2009-10-28 J. Loeffelholz , G. Morchio , F. Strocchi

While $CP$ violation has never been observed in the strong interactions, the QCD Lagrangian admits a $CP$-odd topological interaction proportional to the so called $\theta$ angle, which weighs the contributions to the partition function…

High Energy Physics - Theory · Physics 2022-09-19 Wen-Yuan Ai , Juan S. Cruz , Bjorn Garbrecht , Carlos Tamarit

On the basis of allowed local gauge symmetries, the QCD Lagrangian admits a CP-violating term proportional to the topological charge density, commonly referred to as the $\theta$ term. A priori, any value of $\theta$ is consistent with the…

High Energy Physics - Phenomenology · Physics 2026-03-26 Anthony G. Williams

In this Letter we employ lattice simulations to search for the critical point of quantum chromodynamics (QCD). We search for the onset of a first order QCD transition on the phase diagram by following contours of constant entropy density…

The existence in the physical QCD vacuum of nonzero gluon condensates, such as $<g^2F^2>$, requires dominance of gluon fields with finite mean action density. This naturally allows any real number value for the unit ``topological charge''…

High Energy Physics - Phenomenology · Physics 2009-11-11 A. C. Kalloniatis , S. N. Nedelko

A very simple model is presented where all CP violation in Nature is spontaneous in origin. The CKM phase is generated unsuppressed and the strong CP problem is solved with only moderately small couplings between the SM and the CP violation…

High Energy Physics - Phenomenology · Physics 2019-03-29 A. L. Cherchiglia , C. C. Nishi

The behaviour of the broken CP symmetry at finite temperature is examined. This is achieved through the investigation of the neutron electric dipole moment $d_n$ induced by $\theta$-term. By using thermal QCD sum rules, we find that below…

High Energy Physics - Phenomenology · Physics 2016-09-06 Mohamed Chabab

We investigate QCD at large mu/T by using Z_3-symmetric SU(3) gauge theory, where mu is the quark-number chemical potential and T is temperature. We impose the flavor-dependent twist boundary condition on quarks in QCD. This QCD-like theory…

High Energy Physics - Phenomenology · Physics 2016-04-06 Hiroaki Kouno , Kouji Kashiwa , Junichi Takahashi , Tatsuhiro Misumi , Masanobu Yahiro

Recently, it has been conjectured that deconfining phase transition in SU(N_c) pure Yang-Mills theories is continuously connected to a quantum phase transition in softly broken N=1 super Yang-Mills on R^{1,2}*S^1. We exploit this conjecture…

High Energy Physics - Theory · Physics 2013-10-30 Mohamed M. Anber

Solutions to the strong CP problem typically introduce new scales associated with the spontaneous breaking of symmetries. Absent any anthropic argument for small $\bar\theta$, these scales require stabilization against ultraviolet…

High Energy Physics - Phenomenology · Physics 2016-01-27 Abdelhamid Albaid , Michael Dine , Patrick Draper

Imposing CP or P forces the QCD topological angle to be either $\bar\theta=0$ or $\bar\theta=\pi$. However, only the former is phenomenologically viable. This implies that the assumption of CP or P alone cannot provide a framework for…

High Energy Physics - Phenomenology · Physics 2025-07-17 Luca Vecchi

We show that the strong CP problem can, in principle, be solved dynamically by adding extra-dimensions with compact topology. To this aim we consider a toy model for QCD, which contains a vacuum angle and a strong CP like problem. We…

High Energy Physics - Theory · Physics 2011-08-04 F. L. Bezrukov , Y. Burnier

A spontaneously-broken CP provides an alternative to the KM mechanism for CP violation with the advantage that the strong CP problem is solved. We consider, for such a model with a new gauged U(1), the incorporation of low-energy…

High Energy Physics - Phenomenology · Physics 2009-10-30 Paul H. Frampton , Otto C. W. Kong

We perform large scale simulations to characterize the transition in quenched QCD. It is shown by a rigorous finite size scaling that the transition is of first order. After this qualitative feature quantitative results are obtained with…

High Energy Physics - Lattice · Physics 2022-04-19 S. Borsanyi , Z. Fodor , D. A. Godzieba , R. Kara , P. Parotto , D. Sexty

The 't Hooft anomaly matching condition provides constraints on the phase structure at $\theta=\pi$ in 4D SU($N$) Yang-Mills theory. In particular, assuming that the theory is confined and the CP symmetry is spontaneously broken at low…

High Energy Physics - Lattice · Physics 2024-01-12 Mitsuaki Hirasawa , Kohta Hatakeyama , Masazumi Honda , Akira Matsumoto , Jun Nishimura , Atis Yosprakob

We study the phase structure of full QCD within the canonical ensemble with respect to triality in a lattice formulation. The procedure for the calculation of the effective potentials in this case is given. As an example we consider the…

High Energy Physics - Lattice · Physics 2008-11-26 O. Borisenko , M. Faber , G. Zinovjev

``Fuzzy CP^2'', which is a four-dimensional fuzzy manifold extension of the well-known fuzzy analogous to the fuzzy 2-sphere (S^2), appears as a classical solution in the dimensionally reduced 8d Yang-Mills model with a cubic term involving…

High Energy Physics - Theory · Physics 2015-06-26 Takehiro Azuma , Subrata Bal , Keiichi Nagao , Jun Nishimura

Solutions of the Strong CP Problem based on the spontaneous breaking of CP must feature a non-generic structure and simultaneously explain a coincidence between a priori unrelated CP-even and CP-odd mass scales. We show that these…

High Energy Physics - Phenomenology · Physics 2021-08-04 Alessandro Valenti , Luca Vecchi

We derive sufficient conditions that guarantee a robust solution of the strong CP problem in theories with spontaneous CP violation, and introduce a class of models satisfying these requirements. In the simplest scenarios the dominant…

High Energy Physics - Phenomenology · Physics 2014-12-15 Luca Vecchi