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We describe paths in the configuration space of (3+1) dimensional QED whose relative quantum phase (or relative phase in the functional integral) depends on the value of the theta angle. The final configurations on the two paths are related…

High Energy Physics - Theory · Physics 2020-05-18 Stephen D. H. Hsu

CP(N-1) model with topological term is numerically studied. The topological charge distribution P(Q) is calculated and then transformed to the partition function Z($\theta$) as a function of $\theta$ parameter. In the strong coupling…

High Energy Physics - Lattice · Physics 2016-09-01 M. Imachi , S. Kanou , H. Yoneyama

A recent paper "What can solve the strong CP problem?" goes counter to conventional wisdom by arguing that the universe was in an initial state that combines different eigenstates of $\theta$ (of the theta vacuum of QCD), and asserts that…

High Energy Physics - Phenomenology · Physics 2025-06-03 Ravi Kuchimanchi

One of the yet unsolved questions of QCD in the context of the Standard Model is to explain the strong CP problem. A way to look for a better understanding of it is to investigate the theory in the presence of a non-zero topological theta…

High Energy Physics - Lattice · Physics 2014-11-05 Lorenzo Bongiovanni , Gert Aarts , Erhard Seiler , Denes Sexty

Testing the cosmological variation of fundamental constants of Nature can provide valuable insights into new physics scenarios. While many such constraints have been derived for Standard Model coupling constants and masses, the $\bar\theta$…

High Energy Physics - Phenomenology · Physics 2022-10-13 Hooman Davoudiasl , Julia Gehrlein , Robert Szafron

We investigate the $\theta$-dependence of 2-dimensional $CP^{N-1}$ models in the large-$N$ limit by lattice simulations. Thanks to a recent algorithm proposed by M. Hasenbusch to improve the critical slowing down of topological modes,…

High Energy Physics - Lattice · Physics 2019-12-25 Mario Berni , Claudio Bonanno , Massimo D'Elia

This Chapter introduces QCD at finite temperature and density. We first present the formulation of the thermal theory in the Euclidean path integral formalism. We then describe how the strong dynamics at high temperature can be inspected…

High Energy Physics - Phenomenology · Physics 2026-02-24 Matteo Bresciani

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

Aiming at a better understanding of anomalous and topological effects in gauge theories out-of-equilibrium, we study the real-time dynamics of a prototype model for CP-violation, the massive Schwinger model with a $\theta$-term. We identify…

Quantum Physics · Physics 2019-02-13 T. V. Zache , N. Mueller , J. T. Schneider , F. Jendrzejewski , J. Berges , P. Hauke

As one approaches the continuum limit, $QCD$ systems, investigated via numerical simulations, remain trapped in sectors of field space with fixed topological charge. As a consequence the numerical studies of physical quantities may give…

High Energy Physics - Lattice · Physics 2016-08-02 Alessandro Laio , Guido Martinelli , Francesco Sanfilippo

Quantum point contacts (QPC) are a key instrument in investigating the physics of edge excitations in the quantum Hall effect. However, at not-so-high bias voltage values, the predictions of the conventional point QPC model often deviate…

Mesoscale and Nanoscale Physics · Physics 2025-12-11 Prasoon Kumar , Kyrylo Snizhko

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

Motivated by recent claims questioning the existence of strong CP violation, we present a pedagogical review of CP violation in Quantum Chromodynamics (QCD). Using fundamental properties of the QCD partition function, we analyze the…

High Energy Physics - Phenomenology · Physics 2026-01-09 Andreas Ringwald

We discuss a possible solution to the strong CP problem which is based on spontaneous CP violation and discrete symmetries. At the same time we predict in a simple way the almost right-angled quark unitarity triangle angle ($\alpha \simeq…

High Energy Physics - Phenomenology · Physics 2015-06-09 Martin Spinrath

The status of determinations of the strong coupling constant based on lattice QCD is reviewed.

High Energy Physics - Phenomenology · Physics 2007-05-23 Aida X. El-Khadra

We show that a recently proposed solution to the Hierarchy Problem simultaneously solves the Strong CP Problem, without requiring an axion or any further new physics. Consistency of black hole physics implies a non-trivial relation between…

High Energy Physics - Theory · Physics 2008-11-26 Gia Dvali , Glennys R. Farrar

We briefly review the cases of forced and spontaneous chiral symmetry breaking. In particular the chiral condensate of q anti-q pairs is parametrized with two angles, phi which measures the chiral condensation, and theta which measures the…

High Energy Physics - Phenomenology · Physics 2007-05-23 P. Bicudo , J. Ribeiro

One often hears that the strong $CP$ problem is the one problem which cannot be solved by anthropic reasoning. We argue that this is not so. Due to nonperturbative dynamics, states with a different $CP$ violating paramenter $\theta$ acquire…

High Energy Physics - Theory · Physics 2017-12-11 Nemanja Kaloper , John Terning

We propose a method to obtain physical quantities in the theta vacuum from those at fixed topology, which are different by finite size effects. Extending the work by Brower et al., we derive the formula to estimate these finite size…

High Energy Physics - Lattice · Physics 2009-04-14 Sinya Aoki , Hidenori Fukaya , Shoji Hashimoto , Tetsuya Onogi

This thesis is devoted to the study of some aspects of perturbative QCD, and in particular to the development of high-precision techniques for the extraction of physical parameters such as structure functions, parton distributions, and the…

High Energy Physics - Phenomenology · Physics 2007-05-23 Andrea Piccione