Results 51 to 60 of about 3,488,460 (312)

Gauge field theory for Poincar\'{e}-Weyl group [PDF]

, 2005
On the basis of the general principles of a gauge field theory the gauge theory for the Poincar\'{e}-Weyl group is constructed. It is shown that tetrads are not true gauge fields, but represent functions from true gauge fields: Lorentzian, translational ...
A. A. Slavnov, A. A. Sokolov, A. M. Brodsky, B. N. Frolov, B. N. Frolov, B. N. Frolov, B. N. Frolov, B. N. Frolov, B. N. Frolov, B. N. Frolov, D. Gregorash, D. Gregorash, E. Cartan, G. B. Folland, H. Weyl, J. A. Schouten, J. M. Charap, M. Kasuya, M. Nishioka, N. P. Konopleva, O. V. Babourova, P. A. M. Dirac, V. Aldaya, V. Ch. Zhukovsky   +23 more
core   +1 more source

Group Field Theory and Its Cosmology in a Matter Reference Frame

Universe, 2018
While the equations of general relativity take the same form in any coordinate system, choosing a suitable set of coordinates is essential in any practical application.
Steffen Gielen
doaj   +1 more source

Renormalization and conformal invariance of non-local quantum electrodynamics

Journal of High Energy Physics, 2020
We study renormalization group flow in a non-local version of quantum electrodynamics (QED). We determine the regime in which the theory flows to a local theory in the infrared and study a possible UV completion of four-dimensional QED.
Matthew Heydeman, Christian B. Jepsen, Ziming Ji, Amos Yarom   +3 more
doaj   +1 more source

Topological Graph Polynomials in Colored Group Field Theory [PDF]

, 2009
In this paper we analyze the open Feynman graphs of the Colored Group Field Theory introduced in [arXiv:0907.2582]. We define the boundary graph $\cG_{\partial}$ of an open graph $\cG$ and prove it is a cellular complex.
A. Connes, B. Bollobás, B. Bollobás, B. Bollobás, C. Itzykson, D. Boulatov, E.R. Livine, F. Conrady, F. David, G. Kirchhoff, G. ‘t Hooft, G. ’t Hooft, H. Grosse, H. Grosse, H. Grosse, H.H. Crapo, J. Engle, J. Engle, J.B. Geloun, L. Freidel, L. Freidel, L. Freidel, M. Disertori, M. Disertori, M. Gross, M.R. Douglas, N. Nakanishi, N. Sasakura, R. De Pietri, R. Gurau, R. Gurau, R. Gurau, R. Gurau, Razvan Gurau, V. Bonzom, V. Rivasseau, V. Rivasseau, W.T. Tutte   +37 more
core   +1 more source

Editorial for the Special Issue “Progress in Group Field Theory and Related Quantum Gravity Formalisms”

Universe, 2020
This editorial introduces the Special Issue “Progress in Group Field Theory and Related Quantum Gravity Formalisms” which includes a number of research and review articles covering results in the group field theory (GFT) formalism for quantum
Sylvain Carrozza, Steffen Gielen, Daniele Oriti   +2 more
doaj   +1 more source

Remarks on a melonic field theory with cubic interaction

Journal of High Energy Physics, 2021
We revisit the Amit-Roginsky (AR) model in the light of recent studies on Sachdev-Ye-Kitaev (SYK) and tensor models, with which it shares some important features.
Dario Benedetti, Nicolas Delporte
doaj   +1 more source

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 ...
openaire   +4 more sources

Gibbsing spacetime: a group field theory approach to equilibrium in quantum gravity

New Journal of Physics, 2018
The symmetries, subtle nature of observables, and lack of a preferred notion of time evolution all make defining a quantum statistical mechanics of general relativity difficult.
Hal M Haggard
doaj   +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

Scaling behaviour of three-dimensional group field theory [PDF]

, 2009
Group field theory is a generalization of matrix models, with triangulated pseudomanifolds as Feynman diagrams and state sum invariants as Feynman amplitudes.
Magnen, Jacques, Noui, Karim, Rivasseau, Vincent, Smerlak, Matteo   +3 more
core   +3 more sources