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Graviton propagator in loop quantum gravity
, 2008
"... We compute some components of the graviton propagator in loop quantum gravity, using the spinfoam formalism, up to some second order terms in the expansion parameter. ..."
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Cited by 22 (7 self)
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We compute some components of the graviton propagator in loop quantum gravity, using the spinfoam formalism, up to some second order terms in the expansion parameter.
Coarse graining methods for spin net and spin foam models
 HOLONOMY SPIN FOAM MODELS: DEFINITION AND COARSE GRAINING,” PHYS. REV. D 87, 044048 (2013) [ARXIV:1208.3388 [GRQC
, 2011
"... We undertake first steps in making a class of discrete models of quantum gravity, spin foams, accessible to a large scale analysis by numerical and computational methods. In particular, we apply MigdalKadanoff and Tensor Network Renormalization schemes to spin net and spin foam models based on fini ..."
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Cited by 19 (11 self)
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We undertake first steps in making a class of discrete models of quantum gravity, spin foams, accessible to a large scale analysis by numerical and computational methods. In particular, we apply MigdalKadanoff and Tensor Network Renormalization schemes to spin net and spin foam models based on finite Abelian groups and introduce ‘cutoff models’ to probe the fate of gauge symmetries under various such approximated renormalization group flows. For the Tensor Network Renormalization analysis, a new Gauß constraint preserving algorithm is introduced to improve numerical stability and aid physical interpretation. We
A DUAL NONABELIAN YANGMILLS AMPLITUDE IN FOUR DIMENSIONS
, 808
"... Abstract. We derive an explicit formula for the vertex amplitude of dual SU(2) YangMills theory in four dimensions on the lattice, and provide an efficient algorithm (of order j 4) for its computation. This opens the way for both numerical and analytical development of dual methods, previously limi ..."
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Cited by 6 (1 self)
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Abstract. We derive an explicit formula for the vertex amplitude of dual SU(2) YangMills theory in four dimensions on the lattice, and provide an efficient algorithm (of order j 4) for its computation. This opens the way for both numerical and analytical development of dual methods, previously limited to the case of three dimensions. 1.
Analytic derivation of dual gluons and monopoles from SU(2) lattice YangMills theory  I. BF YangMills representation
, 2006
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Analytic derivation of gluons and monopoles from SU(2) lattice YangMills theory  II. Spin foam representation
, 2006
"... Analytic derivation of gluons and monopoles from SU(2) lattice YangMills theory II. Spin foam representation ..."
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Cited by 1 (0 self)
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Analytic derivation of gluons and monopoles from SU(2) lattice YangMills theory II. Spin foam representation
DUAL COMPUTATIONS OF NONABELIAN YANGMILLS ON THE LATTICE
, 705
"... Abstract. In the past several decades there have been a number of proposals for computing with dual forms of nonabelian YangMills theories on the lattice. Motivated by the gaugeinvariant, geometric picture offered by dual models and successful applications of duality in the U(1) case, we revisit ..."
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Abstract. In the past several decades there have been a number of proposals for computing with dual forms of nonabelian YangMills theories on the lattice. Motivated by the gaugeinvariant, geometric picture offered by dual models and successful applications of duality in the U(1) case, we revisit the question of whether it is practical to perform numerical computation using nonabelian dual models. Specifically, we consider threedimensional SU(2) pure YangMills as an accessible yet nontrivial case in which the gauge group is nonabelian. Using methods developed recently in the context of spin foam quantum gravity, we describe a Metropolis algorithm for sampling the dual ensemble and efficiently computing the dual amplitude. We relate our algorithms to prior work in nonabelian dual computations of Hari Dass and his collaborators, addressing several problems that have (to the best our knowledge) been left open. We report results of spin expectation value computations over a range of lattice sizes and couplings that are in agreement with our conventional lattice computations. We conclude with an outlook on further development of dual methods and their application to problems of current interest. 1.