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Related papers: CP(N-1) Models with Theta Term and Fixed Point Act…

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The Non-Commutative (NC) CP(1) model is studied from field theory perspective. Our formalism and definition of the NC CP(1) model differs crucially from the existing one \cite{nccp}. Due to the U(1) gauge invariance, the Seiberg-Witten map…

High Energy Physics - Theory · Physics 2015-06-26 Subir Ghosh

We review results concerning the theta dependence of 4D SU(N) gauge theories and QCD, where theta is the coefficient of the CP-violating topological term in the Lagrangian. In particular, we discuss theta dependence in the large-N limit.…

High Energy Physics - Theory · Physics 2013-02-07 Ettore Vicari , Haralambos Panagopoulos

We construct twisted instanton solutions of CP(n) models. Generically a charge-k instanton splits into k(n+1) well-separated and almost static constituents carrying fractional topological charges and being ordered along the noncompact…

High Energy Physics - Theory · Physics 2014-11-18 Wieland Brendel , Falk Bruckmann , Lukas Janssen , Andreas Wipf , Christian Wozar

In Monte Carlo simulation, lattice field theory with a $\theta$ term suffers from the sign problem. This problem can be circumvented by Fourier-transforming the topological charge distribution $P(Q)$. Although this strategy works well for…

High Energy Physics - Lattice · Physics 2016-09-01 M. Imachi , Y. Shinno , H. Yoneyama

We perform large shell model calculations for Calcium isotopes in the full fp shell by using the realistic Kuo-Brown interaction. The Calcium isotopes are especially interesting because the nearest-neighbour spacing distribution P(s) of…

Nuclear Theory · Physics 2007-05-23 V. R. Manfredi , J. M. G. Gomez , L. Salasnich

We investigate the topological properties of $N_f = 2+1$ QCD with physical quark masses, at temperatures around 500 MeV. With the aim of obtaining a reliable sampling of topological modes in a regime where the fluctuations of the…

High Energy Physics - Lattice · Physics 2018-12-12 Claudio Bonati , Massimo D'Elia , Guido Martinelli , Francesco Negro , Francesco Sanfilippo , Antonino Todaro

We study on the lattice the topology of SU(2) and SU(3) Yang-Mills theories at zero temperature and of QCD at temperatures around the phase transition. To smooth out dislocations and the UV noise we cool the configurations with an action…

High Energy Physics - Lattice · Physics 2009-09-25 Philippe de Forcrand , Margarita Garcia Perez , James E. Hetrick , Ion-Olimpiu Stamatescu

The overlap formalism of chiral fermions provides a tool to measure the index, Q, of the chiral Dirac operator in a fixed gauge field background on the lattice. This enables a numerical measurement of the probability distribution, p(Q), in…

High Energy Physics - Lattice · Physics 2009-10-30 Rajamani Narayanan , Pavlos Vranas

We present model predictions for the spectrum of $CP^{N-1}$ in a periodic box and use them to interpret the strong finite size effects observed in lattice simulations at medium values of $N$. The asymptotic scaling behaviour of alternative…

High Energy Physics - Lattice · Physics 2008-11-26 A. C. Irving , C. Michael

We investigate the critical behavior of three-dimensional ferromagnetic CP(N-1) models, which are characterized by a global U(N) and a local U(1) symmetry. We perform numerical simulations of a lattice model for N=2, 3, and 4. For N=2 we…

Statistical Mechanics · Physics 2019-08-28 Andrea Pelissetto , Ettore Vicari

We study the Standard Model with gauged $\mathbb Z_{N=2,3,6}^{(1)}$ subgroups of its $\mathbb Z_6^{(1)}$ 1-form global symmetry, making the gauge group $SU(3) \times SU(2)\times U(1) \over \mathbb Z_N$. We show that, on a finite $\mathbb…

High Energy Physics - Theory · Physics 2022-01-05 Mohamed M. Anber , Erich Poppitz

We study the dependence of the free energy on the CP violating angle theta, in four-dimensional SU(N) gauge theories with N >= 3, and in the large-N limit. Using the Wilson lattice formulation for numerical simulations, we compute the first…

High Energy Physics - Theory · Physics 2009-11-07 L. Del Debbio , H. Panagopoulos , E. Vicari

We study nucleon-nucleon scattering on the lattice at next-to-leading order in chiral effective field theory. We determine phase shifts and mixing angles from the properties of two-nucleon standing waves induced by a hard spherical wall in…

Nuclear Theory · Physics 2008-11-26 Bugra Borasoy , Evgeny Epelbaum , Hermann Krebs , Dean Lee , Ulf-G. Meißner

Recent efforts in lattice evaluation of the topological susceptibility had shown that at high temperatures it is given by well-separated instantons (even in QCD with light fermions, where those are highly suppressed). Recent development of…

High Energy Physics - Lattice · Physics 2017-01-30 Edward Shuryak

We investigate how the topological charge density in lattice QCD simulations is affected by violations of chiral symmetry in different fermion actions. To this end we compare lattice configurations generated with a number of different…

High Energy Physics - Lattice · Physics 2012-01-10 Falk Bruckmann , Nigel Cundy , Florian Gruber , Thomas Lippert , Andreas Schäfer

A new approach to perform numerical simulations of systems with a theta-vacuum term is proposed, tested, and applied to CP3 The main new ingredient of this approach is the method used to compute the probability distribution function of the…

High Energy Physics - Lattice · Physics 2015-06-25 Vicente Azcoiti , Giuseppe Di Carlo , Angelo Galante , Victor Laliena

We investigate the temperature dependence of the instanton content of gluon fields and their contribution to quark correlation using quenched lattice QCD and the cooling method. We found a suppression of the topological susceptibility at…

Nuclear Theory · Physics 2010-11-01 M. -C. Chu , S. Schramm

We explore gauge actions for lattice QCD, which are constructed such that the occurrence of small plaquette values is strongly suppressed. Such actions originate from the admissibility condition in order to conserve the topological charge.…

High Energy Physics - Lattice · Physics 2016-09-01 K. -i. Nagai , K. Jansen , W. Bietenholz , L. Scorzato , S. Necco , S. Shcheredin

We compute the decay rate for the process $\eta_c\to p\bar p$ using an effective helicity-flipping proton-antiproton-gluon vertex which incorporates nonperturbative chiral symmetry breaking effects induced by instantons. We fix the strength…

High Energy Physics - Phenomenology · Physics 2009-10-22 Mauro Anselmino , Stefano Forte

With the aim of studying the relevance and properties of critical slowing down in Monte Carlo simulations of lattice quantum field theories we carried out a high precision numerical study of the discretised two-dimensional CP^{N-1} model at…

High Energy Physics - Lattice · Physics 2015-04-24 Jonathan Flynn , Andreas Juttner , Andrew Lawson , Francesco Sanfilippo