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QUANTUM GROUP SCHRÖDINGER FIELD THEORY [PDF]
Modern Physics Letters A, 1993 We show that a quantum deformation of quantum mechanics given in a previous work is equivalent to quantum mechanics on a nonlinear lattice with step size ∆x=(1−q)x. Then, based on this, we develop the basic formalism of quantum group Schrödinger field theory in one spatial quantum dimension, and explicitly exhibit the SU q(2) covariant algebras ...
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LeClair-Mussardo series for two-point functions in Integrable QFT
Journal of High Energy Physics, 2018 We develop a well-defined spectral representation for two-point functions in relativistic Integrable QFT in finite density situations, valid for space-like separations.
B. Pozsgay, I.M. Szécsényi
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Multi-orientable group field theory [PDF]
Journal of Physics A: Mathematical and Theoretical, 2012 20 pages, 15 figures; v2: more details on the motivation for introducing this class of GFTs have been given; section 2 ("Multi-orientable GFT in three dimensions") has been slightly shortened; several references have been ...
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Composite operators near the boundary
Journal of High Energy Physics, 2020 We use renormalization group methods to study composite operators existing at a boundary of an interacting conformal field theory. In particular we relate the data on boundary operators to short-distance (near-boundary) divergences of bulk two-point ...
Vladimír Procházka +1 more
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Aspects of group field theory [PDF]
AIP Conference Proceedings, 2012 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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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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Walking, weak first-order transitions, and complex CFTs
Journal of High Energy Physics, 2018 We discuss walking behavior in gauge theories and weak first-order phase transitions in statistical physics. Despite appearing in very different systems (QCD below the conformal window, the Potts model, deconfined criticality) these two phenomena both ...
Victor Gorbenko +2 more
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Thermofield double states in group field theory [PDF]
International Journal of Modern Physics A, 2021 Group field theories are higher-rank generalizations of matrix/tensor models, and encode the simplicial geometries of quantum gravity. In this paper, we study the thermofield double states in group field theories. The starting point is the equilibrium Gibbs states in group field theory recently found by Kotecha and Oriti, based on which we construct ...
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The reflection coefficient for minimal model conformal defects from perturbation theory
Journal of High Energy Physics, 2018 We consider a class of conformal defects in Virasoro minimal models that have been defined as fixed points of the renormalisation group and calculate the leading contribution to the reflection coefficient for these defects.
Isao Makabe, Gérard M. T. Watts
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Diffeomorphisms in group field theories [PDF]
Physical Review D, 2011 31 pages, revtex4; many ...
Baratin, Aristide +2 more
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