We address the question of whether the low modes of the Dirac operator are caused by topological objects such as instantons in SU(N) gauge theories. We study the pseudo-scalar density of these modes, finding the size distributions of the instantons, and comparing it with the underlying gauge field.
Instanton effects and chiral symmetry breaking in QCD2
โ Scribed by Hugo R. Christiansen
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 452 KB
- Volume
- 74
- Category
- Article
- ISSN
- 0920-5632
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โฆ Synopsis
In this paper we discuss the spontaneous breakdown of chiral symmetry in Quantum Chromodynamics by considering gluonic instanton configurations in the partition function. It is shown that in order to obtain nontrivial fermionic correlators in a two dimensional gauge theory for the strong interactions among quarks, a regular instanton background has to be taken into account. We work over massless quarks in the fundamental representation of SU(iV,). For large N,, massive quarks are also considered.
๐ SIMILAR VOLUMES
I report on recent work done in collaboration with Marc Knecht [l] on patterns of spontaneous chiral symmet,ry breaking in the large-A/= limit of QCD-like theories, and with Santi Peris and Michel Perrottet [2] concerning the question of matching long and short distances in large-hi, &CD.
We study dynamical mass generation in QED in (2+1) dimensions using Hamiltonian lattice methods. We use staggered fermions, and perform simulations with explicit dynamical fermions in the chiral limit. We demonstrate that a recently developed method to reduce the fermion sign problem can successfull