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In this Thesis we study quantum corrections to the classical dynamics for mean values in field theory. To that end we make use of the formalism of the closed time path effective action to get real and causal equations of motion. We…

High Energy Physics - Theory · Physics 2007-05-23 Diego A. R. Dalvit

We construct a gauge-invariant action for covariant type II string field theory in the NS-NS sector. Our construction is based on the large Hilbert space description and Zwiebach's string products are used. First, we rewrite the action for…

High Energy Physics - Theory · Physics 2019-05-02 Hiroaki Matsunaga

Group field theories represent a 2nd quantized reformulation of the loop quantum gravity state space and a completion of the spin foam formalism. States of the canonical theory, in the traditional continuum setting, have support on graphs…

General Relativity and Quantum Cosmology · Physics 2015-02-17 Daniele Oriti , James P. Ryan , Johannes Thürigen

Group field theories are quantum field theories built on groups. They can be seen as a tool to generate topological state-sums or quantum gravity models. For four dimensional manifolds, different arguments have pointed towards 2-groups…

High Energy Physics - Theory · Physics 2022-05-13 Florian Girelli , Matteo Laudonio , Adrian Tanasa , Panagiotis Tsimiklis

We introduce a geometric construction of a gauge field theory of a complex adaptive system. It is based on a suitable simplicial formulation of a discrete geometry that manifests relevant properties valid in the classical differentiable…

Mathematical Physics · Physics 2025-09-03 Gueorgui M. Mihaylov , Sergio L. Cacciatori

A gauge theory of the Lorentz group, based on the different behavior of spinors and vectors under local transformations, is formulated in a flat space-time and the role of the torsion field within the generalization to curved space-time is…

High Energy Physics - Theory · Physics 2009-03-24 Nakia Carlevaro , Orchidea Maria Lecian , Giovanni Montani

Scattering transform is a well known powerful tool for quantisation of field theories in (1+1) dimensions. Conventionally only those models whose classical counterparts admit a Lax pair (origin of which is always mysterious) have been…

High Energy Physics - Theory · Physics 2007-05-23 Gautam Bhattacharya

We construct a superfield formulation for non-relativistic Chern-Simons-Matter theories with manifest dynamical supersymmetry. By eliminating all the auxiliary fields, we show that the simple action reduces to the one obtained by taking…

High Energy Physics - Theory · Physics 2009-07-22 Yu Nakayama

In this work we develop a re-formulation of quantum field theory through the more general weighted Lorentz invariant measures that the definition of quantum fields allows; this approach provides finite answers for the long-live problems of…

High Energy Physics - Theory · Physics 2022-05-25 R. Cartas-Fuentevilla , A. Mendez-Ugalde

Standard perturbation theory (SPT) for large-scale matter inhomogeneities is unsatisfactory for at least three reasons: there is no clear expansion parameter since the density contrast is not small on all scales; it does not fully account…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-12 Enrico Pajer , Matias Zaldarriaga

Gauge fields of mixed symmetry, corresponding to arbitrary representations of the local Lorentz group of the background spacetime, arise as massive modes in compactifications of superstring theories. We describe bosonic gauge field theories…

High Energy Physics - Theory · Physics 2009-11-10 Paul de Medeiros

The role of Lorentz symmetry in noncommutative field theory is considered. Any realistic noncommutative theory is found to be physically equivalent to a subset of a general Lorentz-violating standard-model extension involving ordinary…

High Energy Physics - Theory · Physics 2009-09-25 Sean M. Carroll , Jeffrey A. Harvey , V. Alan Kostelecky , Charles D. Lane , Takemi Okamoto

We investigate a lattice scalar field theory in the presence of a bias favouring the establishment of an energy current, as a model for stationary nonequilibrium processes at low temperature in a non-integrable system. There is a transition…

Statistical Mechanics · Physics 2009-10-31 John Cardy , Peter Suranyi

The kinetic field theory is developed without assumptions of statistical homogeneity and isotropy. In a solvable toy model with short-ranged interactions, we compare first-order perturbation theory to an iterated mean-field approximation…

Cosmology and Nongalactic Astrophysics · Physics 2025-09-03 Matthias Bartelmann , James Stokes

In this article we formulate a `topological' field theory by employing a generalization of the Duistermaat-Heckman Theorem to localize the path-integral of the `topological action' C^2 , where C is a slight modification of the Zamolodchikov…

High Energy Physics - Theory · Physics 2008-02-03 Kelly Jay Davis

In this article the classical, relativistic Lagrangian based on the isotropic fermion sector of the Lorentz-violating (minimal) Standard-Model Extension is considered. The motion of the associated classical particle in an external…

High Energy Physics - Theory · Physics 2015-05-13 M. Schreck

A lattice-type regularization of the supersymmetric field theories on a supersphere is constructed by approximating the ring of scalar superfields by an integer-valued sequence of finite dimensional rings of supermatrices and by using the…

High Energy Physics - Theory · Physics 2009-10-28 H. Grosse , C. Klimcik , P. Presnajder

In a short review of recent work, we discuss the general problem of constructing the actions of new conformal field theories from old conformal field theories. Such a construction follows when the old conformal field theory admits new…

High Energy Physics - Theory · Physics 2007-05-23 Jan de Boer , M. B. Halpern

I show that a particle structure in conformal field theory is incompatible with interactions. As a substitute one has particle-like exitations whose interpolating fields have in addition to their canonical dimension an anomalous…

High Energy Physics - Theory · Physics 2009-10-31 Bert Schroer

The ordinary formalism for classical field theory is applied to dynamical group field theories. Focusing first on a local group field theory over one copy of SU(2) and, then, on more involved nonlocal theories (colored and non colored)…

High Energy Physics - Theory · Physics 2015-05-28 Joseph Ben Geloun