Renormalization of discrete models without background - INSPIRE

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Renormalization of discrete models without background

Robert Oeckl
(
- Marseille, CPT
)

Dec, 2002

38 pages

Published in:

Nucl.Phys.B 657 (2003) 107-138

e-Print:

gr-qc/0212047 [gr-qc]

DOI:

10.1016/S0550-3213(03)00145-7

Report number:

CPT-2002-P-4461

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Abstract: (Elsevier)

Conventional renormalization methods in statistical physics and lattice quantum field theory assume a flat metric background. We outline here a generalization of such methods to models on discretized spaces without metric background. Cellular decompositions play the role of discretizations. The group of scale transformations is replaced by the groupoid of changes of cellular decompositions. We introduce cellular moves which generate this groupoid and allow to define a renormalization groupoid flow.

Note:

40 pages, 17 figures, LaTeX + AMS + XY-pic + eps: added subsection 4.3 on relation to spin network diagrams, reference added, minor adjustments Report-no: CPT-2002/P.4461 Subj-class: General Relativity and Quantum Cosmology: Statistical Mechanics Journal-ref: Nucl. Phys. B 657 (2003) 107-138

renormalization
space: discrete
quantum gravity
spin: foam
BF model
gauge field theory: Yang-Mills

References(21)

Figures(0)

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