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High Energy Physics - Lattice

New submissions

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New submissions for Mon, 19 Mar 18

[1]  arXiv:1803.05910 [pdf, ps, other]
Title: Combining the color structures and intersection points of thick center vortices and low-lying Dirac modes
Authors: Seyed Mohsen Hosseini Nejad (Semnan University)
Comments: 10 pages, 18 figures, accepted by Physical Review D
Subjects: High Energy Physics - Lattice (hep-lat)

We investigate several examples of Yang-Mills gauge configurations containing center vortex structures, including intersection points between vortices and nontrivial color structures residing on the vortex world-surfaces. Various topological charge contributions of the color structures and intersection points are studied in these configurations. Low-lying eigenmodes of the (overlap) Dirac operator in the presence of these vortex backgrounds are analyzed. The results indicate characteristic properties for spontaneous chiral symmetry breaking.

[2]  arXiv:1803.06158 [pdf, other]
Title: Rotor Spectra and Berry Phases in the Chiral Limit of QCD on a Torus
Comments: 20 pages, 3 figures
Subjects: High Energy Physics - Lattice (hep-lat); High Energy Physics - Theory (hep-th)

We consider the finite-volume spectra of QCD in the chiral limit of massless up and down quarks and massive strange quarks in the baryon number sectors $B = 0$ and $B = 1$ for different values of the isospin. Spontaneous symmetry breaking gives rise to rotor spectra, as the chiral order parameter precesses through the vacuum manifold. Baryons of different isospin influence the motion of the order parameter through non-trivial Berry phases and associated abstract monopole fields. Our investigation provides detailed insights into the dynamics of spontaneous chiral symmetry breaking in QCD on a torus. It also sheds new light on Berry phases in the context of quantum field theory. Interestingly, the Berry gauge field resulting from QCD solves a Yang-Mills-Chern-Simons equation of motion on the vacuum manifold $SU(2) = S^3$.

Replacements for Mon, 19 Mar 18

[3]  arXiv:1711.05203 (replaced) [pdf, other]
Title: 3d N=4 Super-Yang-Mills on a Lattice
Comments: v2. expanded section on mass terms, added appendix, published in JHEP
Subjects: High Energy Physics - Lattice (hep-lat); High Energy Physics - Theory (hep-th)
[ total of 3 entries: 1-3 ]
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