Results 11 to 20 of about 3,784,851 (224)
Stochastic dynamics for group field theories
Physical Review D, 2023 70 pages, 18 ...
Vincent Lahoche, Dine Ousmane Samary
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Group field theory on quantum groups
, 2022 We introduce the framework of Hopf algebra field theory (HAFT) which generalizes the notion of group field theory to the quantum group (Hopf algebra) case. We focus in particular on the 3d case and show how the HAFT we considered is topological. The highlight of the construction is the notion of plane-wave which leads, in the specific example of SUq (2)
Girelli, Florian, Laudonio, Matteo
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QUANTUM GROUPS AND FIELD THEORY [PDF]
Modern Physics Letters A, 2000 When the symmetry of a physical theory describing a finite system is deformed by replacing its Lie group by the corresponding quantum group, the operators and state function will lie in a new algebra describing new degrees of freedom. If the symmetry of a field theory is deformed in this way, the enlarged state space will again describe additional ...
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Double field theory on group manifolds [PDF]
Journal of High Energy Physics, 2015 A new version of double field theory (DFT) is derived for the exactly solvable background of an in general left-right asymmetric WZW model in the large level limit. This generalizes the original DFT that was derived via expanding closed string field theory on a torus up to cubic order.
Ralph Blumenhagen +2 more
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Inverse Renormalization Group in Quantum Field Theory [PDF]
Physical Review Letters, 2022 We propose inverse renormalization group transformations within the context of quantum field theory that produce the appropriate critical fixed point structure, give rise to inverse flows in parameter space, and evade the critical slowing down effect in calculations pertinent to criticality.
Bachtis, Dimitrios +3 more
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Flowing in Group Field Theory Space: a Review [PDF]
, 2016 We provide a non-technical overview of recent extensions of renormalization methods and techniques to Group Field Theories (GFTs), a class of combinatorially non-local quantum field theories which generalize matrix models to dimension $d \geq 3$.
Carrozza, Sylvain
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Topological Graph Polynomials in Colored Group Field Theory [PDF]
, 2009 In this paper we analyze the open Feynman graphs of the Colored Group Field Theory introduced in [arXiv:0907.2582]. We define the boundary graph $\cG_{\partial}$ of an open graph $\cG$ and prove it is a cellular complex.
A. Connes +37 more
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Gauge field theory for Poincar\'{e}-Weyl group [PDF]
, 2005 On the basis of the general principles of a gauge field theory the gauge theory for the Poincar\'{e}-Weyl group is constructed. It is shown that tetrads are not true gauge fields, but represent functions from true gauge fields: Lorentzian, translational ...
A. A. Slavnov +23 more
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Relational Hamiltonian for group field theory [PDF]
Physical Review D, 2019 Using a massless scalar field as a clock variable, the Legendre transform of the group field theory Lagrangian gives a relational Hamiltonian. In the classical theory, it is natural to define 'equal relational time' Poisson brackets, where 'equal time' corresponds to equal values of the scalar field clock.
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Holographic Entanglement in Group Field Theory [PDF]
Universe, 2019 This work is meant as a review summary of a series of recent results concerning the derivation of a holographic entanglement entropy formula for generic open spin network states in the group field theory (GFT) approach to quantum gravity. The statistical group-field computation of the Rényi entropy for a bipartite network state for a simple interacting
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