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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

These lectures describe the use of effective field theories to extrapolate results from the parameter region where numerical simulations of lattice QCD are possible to the physical parameters (physical quark masses, infinite volume,…

High Energy Physics - Lattice · Physics 2007-05-23 Stephen. R. Sharpe

We present a simple introduction to the techniques of effective field theory (EFT) and their application to QCD. For problems with more than one energy scale, the EFT approach is a useful alternative to more traditional model-building…

Nuclear Theory · Physics 2007-05-23 U. van Kolck , L. J. Abu-Raddad , D. M. Cardamone

We consider the effect of adding a CP-odd, theta FFdual-term to the electroweak Lagrangian without fermions. This term affects neither the classical nor perturbatively quantum physics, but can be observed through non-perturbative quantum…

High Energy Physics - Phenomenology · Physics 2009-10-31 Arthur Lue , Mark Trodden

We demonstrate that the QCD sum rule method can be successfully applied to the calculation of CP-odd electromagnetic observables induced by a vacuum theta--angle. We implement the approach in calculating the electric dipole moment of the…

High Energy Physics - Phenomenology · Physics 2009-10-31 M. Pospelov , A. Ritz

Nucleon electric dipole moments originating from strong CP-violation are being calculated by several groups using lattice QCD. We revisit the finite volume corrections to the CP-odd nucleon matrix elements of the electromagnetic current,…

High Energy Physics - Phenomenology · Physics 2014-07-25 Tarik Akan , Feng-Kun Guo , Ulf-G. Meißner

We construct the effective potential for a QCD-like theory using the auxiliary field method. The chiral phase transition exhibited by the model at finite temperature and the quark chemical potential is studied from the viewpoint of the…

High Energy Physics - Phenomenology · Physics 2016-09-06 Y. Hashimoto , Y. Tsue , H. Fujii

We study QED in external electromagnetic fields using methods developed for simulating lattice QCD. Our first project is to simulate QED in a constant (in space and time) external magnetic field on a euclidean space-time lattice using the…

High Energy Physics - Lattice · Physics 2021-11-04 D. K. Sinclair , J. B. Kogut

Recent studies have claimed that the strong $CP$ problem does not occur in QCD, proposing a new order of limits in volume and topological sectors when studying observables on the lattice. We study the effect of the topological term on a…

High Energy Physics - Lattice · Physics 2025-02-17 David Albandea , Guilherme Catumba , Alberto Ramos

Spontaneous creation of electron-positron pairs out of the vacuum due to a strong electric field is a spectacular manifestation of the relativistic energy-momentum relation for the Dirac fermions. This fundamental prediction of Quantum…

Quantum Physics · Physics 2012-03-05 Nikodem Szpak , Ralf Schützhold

Lattice quantum chromodynamics (QCD) studies of electromagnetic properties of hadrons and light nuclei, such as magnetic moments and polarizabilities, have proven successful with the use of background field methods. With an implementation…

High Energy Physics - Lattice · Physics 2016-02-03 Zohreh Davoudi , William Detmold

In this dissertation, I introduce the principles and methods of effective field theory and describe my work in three EFTs: First, in the perturbative QCD region, I use soft collinear effective theory (SCET) to prove that strong interaction…

High Energy Physics - Phenomenology · Physics 2016-12-30 Ou Z. Labun

We extend the usual chiral perturbation theory framework ($\chi$PT) to allow the inclusion of a light dynamical isosinglet scalar. Using lattice QCD results, and a few phenomenological inputs, we explore the parameter space of the effective…

High Energy Physics - Phenomenology · Physics 2015-05-30 J. Soto , P. Talavera , J. Tarrús

It is shown that in the scheme with a rotating fermion mass matrix (i.e. one with a scale-dependent orientation in generation space) suggested earlier for explaining fermion mixing and mass hierarchy, the theta-angle term in the QCD action…

High Energy Physics - Phenomenology · Physics 2011-01-27 J. Bordes , H. M. Chan , S. T. Tsou

We review the connection between QCD and potential models of quarkonia in the framework of effective field theories, with an emphasis on non-perturbative methods such as lattice simulations. The static and heavy quark potentials are…

High Energy Physics - Phenomenology · Physics 2007-05-23 Gunnar S. Bali

A random matrix model for lattice QCD which takes into account the positive definite nature of the Wilson term is introduced. The corresponding effective theory for fixed index of the Wilson Dirac operator is derived to next to leading…

High Energy Physics - Lattice · Physics 2021-01-13 M. Kieburg , M. Lauritzen , B. T. Søgaard , K. Splittorff

We show that, when quantized on a curved ``intra-hadronic background'', QCD induces an effective pseudo gravitational interaction with gravitational and cosmological constants in the GeV range.

High Energy Physics - Theory · Physics 2015-06-26 V. Brindejonc , G. Cohen-Tannoudji

Effective Quantum Field Theories and QCD Lattice methods have become more and more complementary and mutually supportive in the study of Hard Probes. I present some of the progress that this alliance already delivered and I discuss future…

High Energy Physics - Phenomenology · Physics 2020-10-29 Nora Brambilla

We study the quark spectrum at nonzero temperature and density near the critical point (CP) of the chiral phase transition incorporating effects of the scalar- and pseudoscalar-density fluctuations in a chiral effective model with a nonzero…

High Energy Physics - Phenomenology · Physics 2015-01-07 Masakiyo Kitazawa , Teiji Kunihiro , Yukio Nemoto

One may argue that QCD solves the strong CP problem by itself, without having to introduce new symmetries and particles. To test this idea, a lattice simulation is performed. The problem is investigated in the CP$^3$ model first. It is…

High Energy Physics - Lattice · Physics 2007-05-23 G. Schierholz