(No) phase transition in tensorial group field theory
Continuum spacetime is expected to emerge via phase transition in discrete approaches to quantum gravity. A promising example is tensorial group field theory but its phase diagram remains an open issue.
Andreas G.A. Pithis, Johannes Thürigen
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Generalised effective cosmology from group field theory [PDF]
We extend various recent results regarding the derivation of effective cosmological Friedmann equations from the dynamics of group field theory (GFT). Restricting ourselves to a single GFT field mode (or fixed values of Peter–Weyl representation labels),
Steffen Gielen, A. Polaczek
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Group field theory and holographic tensor networks: dynamical corrections to the Ryu–Takayanagi formula [PDF]
We introduce a generalised class of (symmetric) random tensor network states in the framework of group field theory. In this setting, we compute the Rényi entropy for a generic bipartite state via a mapping to the partition function of a topological 3D ...
G. Chirco +3 more
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Ward-constrained melonic renormalization group flow for the rank-four ϕ6 tensorial group field theory [PDF]
The nontrivial fixed point discovered for $\phi^4$-marginal couplings in tensorial group field theories have been showed to be incompatible with Ward-Takahashi identities. In this previous analysis we have stated that the case of models with interactions
Vincent Lahoche, D. O. Samary
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Thermal representations in group field theory: squeezed vacua and quantum gravity condensates [PDF]
We apply the formalism of thermofield dynamics to group field theory quantum gravity and construct thermal representations associated with generalised equilibrium Gibbs states using Bogoliubov transformations. The newly constructed class of thermal vacua
Mehdi Assanioussi, Isha Kotecha
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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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Addendum to “Relational Hamiltonian for group field theory” [PDF]
In this addendum to [Phys. Rev. D 99 (2019) 086017], we extend the construction of a Hamiltonian formalism to a new class of group field theory actions with a kinetic term that is local in the group variables and depends only on their derivatives; such a
Steffen Gielen +2 more
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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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Functional renormalization group analysis of rank-3 tensorial group field theory: The full quartic invariant truncation [PDF]
In this paper, we consider the complete momentum-independent quartic order truncation for the effective average action of a real Abelian rank-3 tensorial group field theory.
J. B. Geloun +3 more
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