Lattice Fermions and Structure of the Vacuum

1. Front Matter

   Pages i-ix

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2. Remarks on Domain-Wall Fermions

   • Michael Creutz

   Pages 1-9

3. Domain-Wall Fermions in Vector Theories

   • Pavlos M. Vranas

   Pages 11-26

4. Better Domain-Wall Fermions

   • Yigal Shamir

   Pages 27-39

5. Truncated Overlap Fermions: the Link Between Overlap and Domain Wall Fermions

   • Artan Boriçi

   Pages 41-52

6. Topology and Chiral Symmetry in QCD with Overlap Fermions

   • Robert G. Edwards, Urs M. Heller, Joe Kiskis, Rajamani Narayanan

   Pages 53-64

7. First Experiences with HMC for Dynamical Overlap Fermions

   • Achim Bode, Urs M. Heller, Robert G. Edwards, Rajamani Narayanan

   Pages 65-68

8. Some Answered and Unanswered Questions about the Structure of the Set of Fermionic Actions with GWL Symmetry

   • Ivan Horváth

   Pages 69-76

9. Optimizing Chirality and Scaling of Lattice Fermion

   • W. Bietenholz

   Pages 77-89

10. Chiral Symmetry Breaking in Strongly Coupled 1 + 1 Dimensional Lattice Gauge Theories

    • F. Berruto, G. Grignani, P. Sodano

    Pages 91-98

11. Regularization and Anomalies in Gauge Theory

    • Kazuo Fujikawa

    Pages 99-112

12. Chiral Symmetry Outside Perturbation Theory

    • H. Neuberger

    Pages 113-124

13. Dirac Operator Normality and Chiral Fermions on the Lattice

    • Werner Kerler

    Pages 125-136

14. Abelian and Nonabelian Lattice Chiral Gauge Theories Through Gauge Fixing

    • Wolfgang Bock, Ka Chun Leung, Maarten Golterman, Yigal Shamir

    Pages 137-151

15. On the Eta-Invariant in the 4D Chiral U(1) Theory

    • V. Bornyakov, A. Hoferichter, G. Schierholz, A. Thimm

    Pages 153-161

16. Overview of the Chiral Fermions on 2D Torus

    • N. V. Zverev

    Pages 163-171

17. ’T Hooft Vertex in the Chiral Schwinger Model

    • V. Bornyakov, A. Hoferichter, G. Schierholz, A. Thimm

    Pages 173-181

18. Multifield Effective Action for Lattice QCD

    • A. A. Slavnov

    Pages 183-193

19. An Investigation of a New Multiboson Algorithm Proposed by Slavnov

    • T. D. Bakeyev

    Pages 195-200

20. Quenched QCD Near the Chiral Limit

    • M. Göckeler, P. E. L. Rakow, R. Horsley, D. Petters, D. Pleiter, G. Schierholz

    Pages 201-209

Among the key problems in modern field theory are the formulation of chiral group theories on the lattice and the quantitative understanding of the quark confinement mechanism. The two topics are closely related by the fact that the chiral nature of the fermions as well as the confinement force are largely topological in origin. Recent advances in this field are here reviewed by some of the world's experts.

• Confinement
• Gauge theory
• Quark
• chirality
• topological charge

• Joint Institute for Nuclear Research, Dubna, Russia

  V. Mitrjushkin

• Deutsches Elektronen-Synchroton DESY, Zeuthen, Germany

  G. Schierholz

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