Keywords
- Haar Measure
- Quotient Space
- Connection Form
- Lattice Gauge Theory
- Abelian Case
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
This is a preview of subscription content, access via your institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
Asorey, M., and Mitter, P.K., Regularized, continuum Yang-Mills process and Feynman-Kac functional integral, Commun. Math. Phys. 80, (1981), 43–58.
Asorey, M., and Mitter, P.K., On geometry, topology and ϑ-sectors in a regularized quantum Yang-Mills theory, Preprint Cern/TH 3424 (1982).
Balian, R., Drouffe, J.M., and Itzykson, C., Phys. Rev. D10 (1974) 3376; D11 (1975), 2098 and 2104.
Bralić, N.E., Exact computation of loop averages in two-dimensional Yang-Mills theory, Phys. Rev. D 22 (1980) 3090–3103.
Colella, P., and Lanford, O., Sample field behavior for the free Markov random field, in Lecture Notes in Physics, Vol. 25 “Constructive Quantum Field Theory” Ed. G. Velo and A. Wightman, Springer 1973, p. 44–70.
Glimm, J., and Jaffe, A., Quantum Physics, Springer-Verlag, New York, 1981.
Gross, L., Convergence of U(1)3 lattice gauge theory to its continuum limit, Commun. Math. Phys. 92 (1983), 137–162.
Gross, L., A Poincaré Lemma for connection forms, J. Funct. Anal. 1985, to appear.
Guerra, F., Rosen, L., and Simon, B., The P (φ)2 Euclidean quantum field theory as classical statistical mechanics, Ann. of Math. 101 (1975), 111–259.
Kobayashi, S., and Nomizu, K., Foundations of differential geometry, Vol. 1,. Interscience Pub. Co. NY, 1963.
Mitter, P.K., and Viallet, C.M., On the bundle of connections and the gauge orbit manifold in Yang-Mills theory, Commun. Math. Phys. 79 (1981), 457–472.
Nelson, E., The free Markov field, J. Funct. Anal. 12 (1973), 211–227.
Simon, B., The P (φ)2 Euclidean (quantum) field theory, Princeton Univ. Press, 1974.
Singer, I.M., Some remarks on the Gribov ambiguity, Commun. Math. Phys. 60 (1978), 7–12.
Singer, I.M., The geometry of the orbit space for non-abelian gauge theories Physica Scripta, 24 (1981) 817–820.
Wilson, K.G., Confinement of quarks, Phys. Rev. D10 (1974), 2445–2459.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1986 Springer-Verlag
About this paper
Cite this paper
Gross, L. (1986). Lattice gauge theory; Heuristics and convergence. In: Albeverio, S.A., Blanchard, P., Streit, L. (eds) Stochastic Processes — Mathematics and Physics. Lecture Notes in Mathematics, vol 1158. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0080213
Download citation
DOI: https://doi.org/10.1007/BFb0080213
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-15998-8
Online ISBN: 978-3-540-39703-8
eBook Packages: Springer Book Archive
