Conveners
Vacuum Structure and Confinement
- Akihiro Shibata (High Energy Accelerator Research Organization (KEK))
Vacuum Structure and Confinement
- Masanori Hanada (Queen Mary University of London)
Vacuum Structure and Confinement
- Alexei Strelchenko (FNAL)
TEK reduction is a well established technique that allows single-site simulations of Yang-Mills theory in the large-$N_c$ limit by exploiting volume reduction induced by twisted boundary conditions. We performed simulations for $SU(841)$ for several gauge couplings and applied standard Wilson flow techniques combined with a tree-level improvement methodology to set the lattice scale. The wide...
We present preliminary results for the large-$N$ limit of the chiral condensate
computed from twisted reduced models. We followed a two-fold strategy, one constiting in extracting the condensate from the quark-mass dependence of the pion mass, the other consisting in extracting the condensate from the mode number of the Dirac operator.
The chiral condensate is computed from the mode number of the staggered Dirac operator. This result is compared with those obtained with other approaches, based on the quark mass dependence of the topological susceptibility and of the pion mass.
We present mechanisms to constrain fermionic condensates on the level of the path integral, which grant access to the quantum effective potential in the infinite volume limit. In the case of a spontaneously broken symmetry this potential possesses a manifestly flat region, which is usually inaccessible to the standard approach of a double limit of volume and explicit symmetry breaking. By...
Effective string theory has shown its universal power in the prediction of the spectrum of low-lying excited states of confining strings. In these works we focus on 3d Ising gauge model and vector $Z_N$ gauge theories. We have computed the low-lying confining flux tube spectrum in 3d Ising gauge model and shown that they agree with the prediction of the Nambu-Goto spectrum. Moreover, we...
When QCD is described by a non-relativistic EFT, operators consisting of gluonic correlators of two chromoelectric or -magnetic fields will often appear in descriptions of quarkonium physics. At zero T, these correlators give the masses of gluelumps and the moments of these correlators can be used to understand the inclusive P-wave decay of quarkonium. At finite T these correlators definite...
The lattice gauge-scalar model with the scalar field in the fundamental representation of the gauge group has a single confinement-Higgs phase which is well-known as the Fradkin-Shenker-Osterwalder-Seiler analytic continuity theorem: Confinement and Higgs regions are subregions of an analytically continued single phase and there are no thermodynamics phase transitions between them.
In this...
The lattice gauge-scalar model with the scalar field in the adjoint representation of the gauge group has two completely separated confinement and Higgs phases according to the preceding studies based on numerical simulations which have been performed in the specific gauge fixing based on the conventional understanding of the Brout-Englert-Higgs mechanism.
In this talk, we re-examine this...
In this talk, I summarize phenomenological results on topology, in particular the extraction of distinct topological sectors that resemble instantons, and support the picture of the QCD vacuum being filled with highly localized topological excitations.
Combining the identification of topological sectors (connected regions of either left- or right-handed winding in $n_f=2+1+1$ configurations)...
Non-Abelian gauge fields having a line-singularity of the Dirac type lead us to violation of the non-Abelian Bianchi identity. The violation as an operator is equivalent to violation of Abelian-like Bianchi identities
corresponding to eight Abelian-like conserved magnetic monopole currents of the Dirac type in $SU(3)$ QCD. It is very interesting to study if these new Abelian-like monopoles...
We study the entanglement entropy in SU(3) pure gauge theory due to the presence of static quarks. Using a replica approach we investigate the q=2 Renyi entropy across various partitions of space A and \bar{A}. We use this to find the excess entanglement entropy induced by the presence of a quark pair in confinement, and by the presence of a single quark in deconfinement. At 4/3 Tc, we find...
We report on how adjoint zero modes can be used to filter out the topological structures of gauge configurations from the UV fluctuations. The techniques presented here look promising to investigate regimes relevant to recent studies based on semiclassical methods. A particularly interesting application is to test whether the dynamics of fractional instantons can explain properties of the...
We compute the Kugo-Ojima function $u(q^2)$ using large lattice
volume simulations, study the volume dependence, and compare with
analytical results from Schwinger-Dyson equations. Special attention is
given to the infrared behaviour of $u(q^2)$ and the connection with
confinement criteria.