Abstract
In my talk I want to discuss results regarding the critical structure of U(1) lattice gauge theory obtained in two independent studies. The emphasis is put on the study of the flow structure in coupling constant space1. Further results come from a collaboration with Claudio Rebbi2 where we studied the critical exponents in the even and the odd sector of the renormalization group transformations.
This is a preview of subscription content, log in via an 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
C.B. Lang, Phys. Rev. Lett. 57:1828 (1986)
C,B. Lang, Preprint FSU-SCRI-58 (1986), to appear in Nucl. Phys. B.
C.B. Lang and C. Rebbi, BNL preprint (Oct.1986).
R. Gupta, M.A. Novotny and R. Cordery, Phys. Lett. 171B:86 (1986).
A.N. Brkitt, Nucl. Phys. B270[FS16]: 575 (1986).
K. Decker, A. Hasenfratz and P. Hasenfratz, talk presented at this conference.
R. Gupta, Proceedings of the Wuppertal Conference Lattice Gauge Theories: A Challenge in Large Scale Computing. Eds. K.-H. Mütter and K. Schilling (Plenum Press, New York: 1986).
K.G. Wilson, Phys. Rev. D10:2445 (1974).
K.G. Wilson and J. Kogut, Phys. Reports 12C:76 (1974).
H.B. Callen, Phys. Lett. 4B:161 (1963)
R.L. Dobrushin, Theor. Prob. Appl. 13:387 (1969)
D.E. Lanford III and D. Ruelle, Commun. Math. Phys. 13:194 (1969).
R.H. Swendsen, Phys. Rev. Lett. 52:1165 (1984).
C.B. Lang, Phys. Lett. 155B:399 (1985)
C.B. Lang, Nucl. Phys. B265: 630 (1986).
R. Gupta and R. Cordery, Phys. Lett. 105A:415 (1984)
G. Bhanot, Phys. Lett. 154B:63 (1985)
K.M. Bitar,Preprint FSU-SCRI-85-7 (1985).
S.K. Ma, Phys. Rev. Lett. 37:461 (1976)
R.H. Swendsen, Phys. Rev. Lett. 62:859 (1979)
R.H. Swendsen, in Real Space Renormalization ,T.W. Burkhardt and J.M.J. van Leeuwen, Topics in Current Physics 30 (Springer: Berlin 1982).
R. Shankar, R. Gupta and G. Murthy, Phys. Rev. Lett. 55:1812 (1985).
A.H. Guth, Phys. Rev. D21:2291 (1980)
J. Fröhlich and T. Spencer, Commun. Math. Phys. 83:411 (1982).
M. Creutz, L. Jacobs and C. Rebbi, Phys. Rev. D20:1915 (1979).
B. Lautrup and M. Nauenberg, Phys. Lett. 95B:63 (1980).
J. Jersák, T. Neuhaus and P.M. Zerwas, Phys. Lett. 133B:103 (1983).
H.G. Evertz, J. Jersák, T. Neuhaus and P.M. Zerwas, Nucl. Phys. B251[FS13]: 279 (1985)
J. Jersák, T. Neuhaus and P.M. Zerwas, Nucl. Phys. B251[FS13]: 299 (1985).
J.S. Barber, Phys. Lett. 147B:330 (1984)
J.S. Barber, R.E. Shrock and R. Schrader, Phys. Lett. 152B:221 (1985)
V. Grösch, K. Jansen, J. Jersak, C.B. Lang, T. Neuhaus and C. Rebbi, Phys. Lett. 162B:171 (1985).
J. Villain, J. de Phys. 36:581 (1975).
T.A. DeGrand and D. Toussaint, Phys. Rev. D22:2478 (1980)
G. Bhanot, Nucl. Phys. B205[FS5]:168 (1982)
G. Bhanot, Phys. Rev. D24:461 (1981).
B. Berg and C. Panagiotakopoulos, Phys. Rev. Lett. 52:94 (1984).
R.H. Swendsen, Phys. Rev. Lett. 47:1775 (1981).
K.G. Wilson in Recent Developments in Gauge Theories (Cargese 1979) ,Eds. G. ’t Hooft et al. (Plenum, New York: 1980).
B. Nienhuis and M. Nauenberg, Phys. Rev. Lett. 35:477 (1975).
D.G. Caldi, Nucl. Phys. B220[FS8]: 48 (1983).
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1987 Plenum Press, New York
About this chapter
Cite this chapter
Lang, C.B. (1987). Renormalization Flow Structure in Lattice QED. In: Satz, H., Harrity, I., Potvin, J. (eds) Lattice Gauge Theory ’86. NATO ASI Series, vol 159. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-1909-2_22
Download citation
DOI: https://doi.org/10.1007/978-1-4613-1909-2_22
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4612-9062-9
Online ISBN: 978-1-4613-1909-2
eBook Packages: Springer Book Archive