Results 11 to 20 of about 488,642 (308)
Bosonic colored group field theory [PDF]
The European Physical Journal C, 2010 Bosonic colored group field theory is considered. Focusing first on dimension four, namely the colored Ooguri group field model, the main properties of Feynman graphs are studied. This leads to a theorem on optimal perturbative bounds of Feynman amplitudes in the "ultraspin" (large spin) limit. The results are generalized in any dimension.
Geloun, Joseph Ben +2 more
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Group Field Theory with Noncommutative Metric Variables [PDF]
Physical Review Letters, 2010 We introduce a dual formulation of group field theories, making them a type of non-commutative field theories. In this formulation, the variables of the field are Lie algebra variables with a clear interpretation in terms of simplicial geometry. For Ooguri-type models, the Feynman amplitudes are simplicial path integrals for BF theories.
Baratin, A., Oriti, D.
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Nuclear Physics BThe observation that spacetime and quantum fields on it have to be dynamically produced in any theory of quantum gravity implies that quantum gravity should be defined on the configuration space of fields rather than spacetime. Such a theory is described
Mir Faizal +2 more
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Random Walk on a Rough Surface: Renormalization Group Analysis of a Simple Model
, 2023 The field-theoretic renormalization group is applied to a simple model of a random walk on a rough fluctuating surface. We consider the Fokker–Planck equation for a particle in a uniform gravitational field.
Polina I. Kakin +3 more
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Proceedings of 3rd Quantum Gravity and Quantum Geometry School — PoS(QGQGS 2011), 2013 Group field theories are particular quantum field theories defined on D copies of a group which reproduce spin foam amplitudes on a space-time of dimension D. In these lecture notes, we present the general construction of group field theories, merging ideas from tensor models and loop quantum gravity. This lecture is organized as follows.
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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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Hydrodynamics of massless integrable RG flows and a non-equilibrium c-theorem
Journal of High Energy Physics, 2019 We study Euler scale hydrodynamics of massless integrable quantum field theories interpolating between two non-trivial renormalisation group fixed points after inhomogeneous quantum quenches.
D. X. Horváth
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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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Initial states in integrable quantum field theory quenches from an integral equation hierarchy
Nuclear Physics B, 2016 We consider the problem of determining the initial state of integrable quantum field theory quenches in terms of the post-quench eigenstates. The corresponding overlaps are a fundamental input to most exact methods to treat integrable quantum quenches ...
D.X. Horváth, S. Sotiriadis, G. Takács
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T T ¯ $$ T\overline{T} $$ -deformation and long range spin chains
Journal of High Energy Physics, 2020 We point out that two classes of deformations of integrable models, developed completely independently, have deep connections and share the same algebraic origin. One class includes the T T ¯ $$ T\overline{T} $$ -deformation of 1+1 dimensional integrable
Balázs Pozsgay +2 more
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