Results 41 to 50 of about 3,569,422 (339)

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
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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
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Renormalization group and nonequilibrium action in stochastic field theory [PDF]

, 2002
We investigate the renormalization group approach to nonequilibrium field theory. We show that it is possible to derive nontrivial renormalization group flow from iterative coarse graining of a closed-time-path action.
A. Berera, A. McKane, A.J. McKane, C. De Dominicis, C. Greiner, C. Wetterich, D. Boyanovsky, D. Forster, D. Hochberg, D. Hochberg, D. O’Connor, D. O’Connor, D.A.R. Dalvit, E. Calzetta, E. Calzetta, E. Calzetta, E. Calzetta, E. Calzetta, E. Calzetta, E. Frey, E. Hopf, E. Medina, E.A. Calzetta, E.A. Calzetta, Esteban Calzetta, F. Cooper, F. Lombardo, F.J. Wegner, G. Zhou, H. van Beijeren, H. van Hees, H.K. Janssen, J. IIiopoulos, J. Krug, J. Schwinger, J.B. Hartle, J.D. Cole, J.E. Lidsey, Juan Zanella, K.J. Wiese, K.J. Wiese, L.-Y. Chen, L.-Y. Chen, L.V. Keldysh, M. Kardar, M. Kardar, M. Morikawa, P.C. Hohenberg, P.C. Martin, R. Feynman, R. Jackiw, S.F. Shandarin, S.K. Ma, T. Kunihiro, T. Kunihiro, V.S. L’vov, Y. Zhou   +56 more
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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, Alexander Söderberg   +1 more
doaj   +1 more source

The LeClair-Mussardo series and nested Bethe Ansatz

Nuclear Physics B, 2021
We consider correlation functions in one dimensional quantum integrable models related to the algebra symmetries gl(2|1) and gl(3). Using the algebraic Bethe Ansatz approach we develop an expansion theorem, which leads to an infinite integral series in ...
A. Hutsalyuk, B. Pozsgay, L. Pristyák
doaj   +1 more source

Weighting bubbles in group field theory [PDF]

Physical Review D, 2014
Group field theories (GFT) are higher dimensional generalizations of matrix models whose Feynman diagrams are dual to triangulations. Here we propose a modification of GFT models that includes extra field indices keeping track of the bubbles of the graphs in the Feynman evaluations.
Razvan Gurau, Razvan Gurau, Aristide Baratin, Laurent Freidel   +3 more
openaire   +3 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

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

Functional Renormalisation Group Approach for Tensorial Group Field Theory: a Rank-3 Model [PDF]

, 2015
We set up the Functional Renormalisation Group formalism for Tensorial Group Field Theory in full generality. We then apply it to a rank-3 model over U(1) x U(1) x U(1), endowed with a linear kinetic term and nonlocal interactions.
Benedetti, Dario, Geloun, Joseph Ben, Oriti, Daniele   +2 more
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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
doaj   +1 more source