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Quantum Field Theory (QFT) represents a vast generalization of Quantum Mechanics (QM), as it deals with systems that have an infinite number of degrees of freedom. The Stone-von Neumann theorem, which establishes the equivalence of…

Mathematical Physics · Physics 2023-07-13 Ahmed Halawani

In the Emergence Proposal in QG it is conjectured that all light-particle kinetic terms are absent in the fundamental UV theory and are generated by quantum corrections in the IR. It has been argued that this may provide for some…

High Energy Physics - Theory · Physics 2023-06-28 Alberto Castellano , Alvaro Herráez , Luis E. Ibáñez

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

Algebraic quantum field theory provides a general, mathematically precise description of the structure of quantum field theories, and then draws out consequences of this structure by means of various mathematical tools -- the theory of…

Mathematical Physics · Physics 2007-05-23 Hans Halvorson , Michael Mueger

We report on recent results on the Quantum Field Theory of mixed particles. The quantization procedure is discussed in detail, both for fermions and for bosons and the unitary inequivalence of the flavor and mass representations is proved.…

High Energy Physics - Phenomenology · Physics 2007-05-23 Massimo Blasone , Giuseppe Vitiello

An extension of the Lorentz group that includes generators $\Gamma^\mu$ carrying a space-time index has been previously demonstrated to \emph{explicitly} construct the Minkowski metric \emph{within} the internal group space as a consequence…

General Physics · Physics 2024-03-19 James Lindesay

I will briefly discuss three cosmological models built upon three distinct quantum gravity proposals. I will first highlight the cosmological role of a vector field in the framework of a string/brane cosmological model. I will then present…

General Relativity and Quantum Cosmology · Physics 2017-09-06 Mairi Sakellariadou

The waves of fermions display nonlocality in low energy limit of quantum fields. In this \QTR{it}{ab initio} paper we propose a complex-geometry model that reveals the affection of nonlocality on the interaction between material particles…

Quantum Physics · Physics 2008-11-26 Hai-Jhun Wanng

Gravitation theory meets spontaneous symmetry breaking when the structure group of the principal linear frame bundle $LX$ over a world manifold $X^4$ is reducible to the Lorentz group $SO(3,1)$. The physical underlying reason of this…

General Relativity and Quantum Cosmology · Physics 2007-05-23 G. Sardanashvily

A noncommutative geometric generalisation of the quantum field theoretical framework is developed by generalising the Heisenberg commutation relations. There appear nonzero minimal uncertainties in positions and in momenta. As the main…

High Energy Physics - Theory · Physics 2009-10-28 A. Kempf

String theory avoids the ultraviolet infinities that arise in trying to quantize gravity. It is also more predictive than conventional quantum field theory, one aspect of this being the way that it contributed to the emergence of the…

High Energy Physics - Theory · Physics 2007-05-23 Edward Witten

Presented is a quantum gravity theory that is a quantum mechanical generalization of Einstein's vierbein field-based approach, where the classical metric tensor field is promoted to a quantum mechanical metric tensor field operator. The…

General Relativity and Quantum Cosmology · Physics 2019-08-02 Jeffrey Yepez

The Standard Model has three generations of fermions and although it does not contain any explicit reason for this, the existence of additional generations is now very constrained by experiment. Present measurements are saturating…

High Energy Physics - Phenomenology · Physics 2014-12-17 Alfredo Aranda , Jose A. R. Cembranos

We analyse nonperturbatively signal transmission patterns in Green's functions of interacting quantum fields. Quantum field theory is re-formulated in terms of the nonlinear quantum-statistical response of the field. This formulation…

Quantum Physics · Physics 2008-11-26 L. I. Plimak , S. Stenholm

A new non-perturbative approach to quantum field theory --- D-theory --- is proposed, in which continuous classical fields are replaced by discrete quantized variables which undergo dimensional reduction. The 2-d classical O(3) model…

High Energy Physics - Lattice · Physics 2009-10-30 B. B. Beard , R. C. Brower , S. Chandrasekharan , D. Chen , A. Tsapalis , U. -J. Wiese

The $\cal{N}=4$ supersymmetric spinning particle admits several consistent quantizations, related to the gauging of different subgroups of the $SO(4)$ $R$-symmetry on the worldline. We construct the background independent BRST quantization…

High Energy Physics - Theory · Physics 2020-07-15 Roberto Bonezzi , Adiel Meyer , Ivo Sachs

Double Field Theory suggests to view the whole massless sector of closed strings as the gravitational unity. The fundamental symmetries therein, including the $\mathbf{O}(D,D)$ covariance, can determine unambiguously how the Standard Model…

High Energy Physics - Theory · Physics 2017-06-05 Sung Moon Ko , Jeong-Hyuck Park , Minwoo Suh

The fermion propagator is derived in detail from the model of fermion coupled to loop quantum gravity. As an ingredient of the propagator, the vacuum state is defined as the ground state of some effective fermion Hamiltonian under the…

General Relativity and Quantum Cosmology · Physics 2023-11-14 Cong Zhang , Hongguang Liu , Muxin Han

Systematic use of the infinite-dimensional spin representation simplifies and rigorizes several questions in Quantum Field Theory. This representation permutes ``Gaussian'' elements in the fermion Fock space, and is necessarily projective:…

High Energy Physics - Theory · Physics 2010-11-01 Jose M. Gracia-Bondia , Joseph C. Varilly

An Ising-type classical statistical model is shown to describe quantum fermions. For a suitable time-evolution law for the probability distribution of the Ising-spins our model describes a quantum field theory for Dirac spinors in external…

High Energy Physics - Theory · Physics 2011-11-18 C. Wetterich
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