منابع مشابه
Gauge invariance in simplicial gravity
The issue of local gauge invariance in the simplicial lattice formulation of gravity is examined. We exhibit explicitly, both in the weak-field expansion about flat space, and subsequently for arbitrarily triangulated background manifolds, the exact local gauge invariance of the gravitational action, which includes in general both cosmological constant and curvature-squared terms. We show that ...
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We examine basic notions of categorical Galois theory for the adjunction between Π0 and the inclusion as discrete, in the case of simplicial complexes. Covering morphisms are characterized as the morphisms satisfying the unique simplex lifting property, and are classified by means of the fundamental groupoid, for which we give an explicit “Galoistheoretic” description. The class of covering mor...
متن کامل4d Simplicial Quantum Gravity Interacting with Gauge Matter Fields
The effect of coupling non-compact U(1) gauge fields to four dimensional simplicial quantum gravity is studied using strong coupling expansions and Monte Carlo simulations. For one gauge field the back-reaction of the matter on the geometry is weak. This changes, however, as more matter fields are introduced. For more than two gauge fields the degeneracy of random manifolds into branched polyme...
متن کاملAbelian gauge fields coupled to simplicial quantum gravity
We study the coupling of Abelian gauge theories to four-dimensional simplicial quantum gravity. The gauge fields live on dual links. This is the correct formulation if we want to compare the effect of gauge fields on geometry with similar effects studied so far for scalar fields. It shows that gauge fields couple equally weakly to geometry as scalar fields, and it offers an understanding of the...
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ژورنال
عنوان ژورنال: Journal of Mathematical Physics
سال: 2012
ISSN: 0022-2488,1089-7658
DOI: 10.1063/1.3692167