Details
| Original language | English |
|---|---|
| Pages (from-to) | 406-432 |
| Number of pages | 27 |
| Journal | Nuclear Physics, Section B |
| Volume | 449 |
| Issue number | 1-2 |
| Publication status | Published - 28 Aug 1995 |
Abstract
Four-dimensional twisted group lattices are used as models for space-time structure. Compared to other attempts at space-time deformation they have two main advantages: They have a physical interpretation and there is no difficulty in putting field theories on these structures. We present and discuss ordinary and gauge theories on twisted group lattices. We solve the free field theory case by finding all the irreducible representations. The non-abelian gauge theory on the two-dimensional twisted group lattice is also solved. On twisted group lattices, continuous space-time translational and rotational symmetries are replaced by discrete counterparts. We discuss these symmetries in detail. Four-dimensional twisted group lattices can also be used as models for non-trivial discrete compactifications of certain ten-dimensional spaces.
ASJC Scopus subject areas
- Physics and Astronomy(all)
- Nuclear and High Energy Physics
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In: Nuclear Physics, Section B, Vol. 449, No. 1-2, 28.08.1995, p. 406-432.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Four-dimensional twisted group lattices
AU - Lechtenfeld, Olaf
AU - Samuel, Stuart
N1 - Funding Information: We thank J. Wess for brief discussions. This work is supported in part by a NATO Collaborative Research Grant (grant number CRG 930761), by the United States Department of Energy (grant number DE-FG02-92ER40698), by the Alexander von Humboldt Foundation, and by the PSC Board of Higher Education at CUNY. Copyright: Copyright 2015 Elsevier B.V., All rights reserved.
PY - 1995/8/28
Y1 - 1995/8/28
N2 - Four-dimensional twisted group lattices are used as models for space-time structure. Compared to other attempts at space-time deformation they have two main advantages: They have a physical interpretation and there is no difficulty in putting field theories on these structures. We present and discuss ordinary and gauge theories on twisted group lattices. We solve the free field theory case by finding all the irreducible representations. The non-abelian gauge theory on the two-dimensional twisted group lattice is also solved. On twisted group lattices, continuous space-time translational and rotational symmetries are replaced by discrete counterparts. We discuss these symmetries in detail. Four-dimensional twisted group lattices can also be used as models for non-trivial discrete compactifications of certain ten-dimensional spaces.
AB - Four-dimensional twisted group lattices are used as models for space-time structure. Compared to other attempts at space-time deformation they have two main advantages: They have a physical interpretation and there is no difficulty in putting field theories on these structures. We present and discuss ordinary and gauge theories on twisted group lattices. We solve the free field theory case by finding all the irreducible representations. The non-abelian gauge theory on the two-dimensional twisted group lattice is also solved. On twisted group lattices, continuous space-time translational and rotational symmetries are replaced by discrete counterparts. We discuss these symmetries in detail. Four-dimensional twisted group lattices can also be used as models for non-trivial discrete compactifications of certain ten-dimensional spaces.
UR - http://www.scopus.com/inward/record.url?scp=0345293552&partnerID=8YFLogxK
U2 - 10.1016/0550-3213(95)00227-J
DO - 10.1016/0550-3213(95)00227-J
M3 - Article
AN - SCOPUS:0345293552
VL - 449
SP - 406
EP - 432
JO - Nuclear Physics, Section B
JF - Nuclear Physics, Section B
SN - 0550-3213
IS - 1-2
ER -