Results 51 to 60 of about 5,632,423 (343)

Phase transitions in group field theory: The Landau perspective [PDF]

Physical Review D, 2018
In various approaches to quantum gravity continuum spacetime is expected to emerge from discrete geometries through a phase transition. In group field theory, various indications for such a transition have recently been found but a complete understanding
A. G. A. Pithis, Johannes Thurigen
semanticscholar   +1 more source

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, Slava Rychkov, Bernardo Zan   +2 more
doaj   +1 more source

Colored Group Field Theory

, 2009
Group field theories are higher dimensional generalizations of matrix models. Their Feynman graphs are fat and in addition to vertices, edges and faces, they also contain higher dimensional cells, called bubbles.
A. Perez, D. Oriti, D.V. Boulatov, E.R. Livine, F. Conrady, F. David, H. Grosse, J. Ambjorn, J. Ambjorn, J. Ambjorn, J. Engle, J. Engle, J.B. Geloun, J.W. Barrett, L. Freidel, L. Freidel, L. Freidel, M. Disertori, M. Gross, M. Mulazzani, N. Sasakura, R. De Pietri, R. Gurau, R. Williams, Razvan Gurau, V. Bonzom, V.G. Turaev, W.J. Fairbairn   +27 more
core   +1 more source

Field Theory Entropy, the $H$-theorem and the Renormalization Group [PDF]

, 1996
We consider entropy and relative entropy in Field theory and establish relevant monotonicity properties with respect to the couplings. The relative entropy in a field theory with a hierarchy of renormalization group fixed points ranks the fixed points ...
A. Cappelli, A. Cappelli, C. Holzhey, D. J. Wallace, Denjoe O'Connor, Denjoe O'Connor, Denjoe O'Connor, E. T. Jaynes, F. J. Wegner, J. F. Nicoll, J. L. Cardy, J. Polchinski, J. Pérez-Mercader, J. T. Lewis, J. T. Lewis, José Gaite, L. Bombelli, L. Onsager, M. E. Fisher, M. Srednicki, M. Tribus, R. Balian, Richard S. Ellis, S. Lefschetz, S. Ma, Shun-ichi Amari, T. H. Berlin, V. I. Arnold, V. Periwal   +28 more
core   +3 more sources

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
doaj   +1 more source

EPRL/FK Group Field Theory

, 2010
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.Comment: 20 pages, 2 ...
Ben Geloun J., Ben Geloun J. Gurau R. Rivasseau V., Freidel L., Gurau R., J. Ben Geloun, Krajewski T. Magnen J. Rivasseau V. Tanasa A. Vitale P., Magnen J., Messiah A., Oriti D., Perelomov A., R. Gurau, V. Rivasseau   +11 more
core   +2 more sources

Braid group statistics in two-dimensional quantum field theory [PDF]

, 1995
Within the framework of algebraic quantum field theory, we construct explicitly localized morphisms of a Haag-Kastler net in 1+1-dimensional Minkowski space showing abelian braid group statistics.
Adler, C.
core   +3 more sources

Group field theory and tensor networks: towards a Ryu–Takayanagi formula in full quantum gravity [PDF]

, 2017
We establish a dictionary between group field theory (thus, spin networks and random tensors) states and generalized random tensor networks. Then, we use this dictionary to compute the Rényi entropy of such states and recover the Ryu–Takayanagi formula ...
G. Chirco, D. Oriti, Mingyi Zhang
semanticscholar   +1 more source

Renyi relative entropies and renormalization group flows

Journal of High Energy Physics, 2018
Quantum Renyi relative entropies provide a one-parameter family of distances between density matrices, which generalizes the relative entropy and the fidelity. We study these measures for renormalization group flows in quantum field theory.
Horacio Casini, Raimel Medina, Ignacio Salazar Landea, Gonzalo Torroba   +3 more
doaj   +1 more source

Aspects of Group Field Theory

, 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 ...
Vitale, Patrizia
core   +1 more source