Results 11 to 20 of about 443,000 (264)
EPRL/FK group field theory [PDF]
The purpose of this short note is to clarify the Group Field Theory vertex and propagators corresponding to the EPRL/FK spin foam models and to detail the subtraction of leading divergences of the model.
Geloun, Joseph Ben +2 more
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Overlap singularity and time evolution in integrable quantum field theory
We study homogeneous quenches in integrable quantum field theory where the initial state contains zero-momentum particles. We demonstrate that the two-particle pair amplitude necessarily has a singularity at the two-particle threshold.
D. X. Horváth, M. Kormos, G. Takács
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Out-of-horizon correlations following a quench in a relativistic quantum field theory
One of the manifestations of relativistic invariance in non-equilibrium quantum field theory is the “horizon effect” a.k.a. light-cone spreading of correlations: starting from an initially short-range correlated state, measurements of two observers at ...
I. Kukuljan, S. Sotiriadis, G. Takács
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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
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
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]
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
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
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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Aspects of group field theory [PDF]
I review the basic ingredients of discretized gravity which motivate the introduction of Group Field Theory. Thus I describe the GFT formulation of some models and conclude with a few remarks on the emergence of noncommutative structures in such models.
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