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The macroscopic dimensions of space should not be input but rather output of a general model for physics. Here, dimensionality arises from a recently discovered mathematical bifurcation: positive versus indefinite manifold pairings. It is…

Quantum Physics · Physics 2010-12-02 Michael Freedman

We discuss the successes and limitations of statistical sampling for a sequence of models studied in the context of lattice QCD and emphasize the need for new methods to deal with finite-density and real-time evolution. We show that these…

High Energy Physics - Lattice · Physics 2022-09-21 Yannick Meurice , Ryo Sakai , Judah Unmuth-Yockey

We develop the general formalism for performing perturbative diagrammatic expansions in the lattice theory of quantum gravity. The results help establish a precise correspondence between continuum and lattice quantities, and should be a…

High Energy Physics - Theory · Physics 2009-10-30 H. W. Hamber , S. Liu

Differentiation of the scalar Feynman propagator with respect to the spacetime coordinates yields the metric on the background spacetime that the scalar particle propagates in. Now Feynman propagators can be modified in order to include…

General Relativity and Quantum Cosmology · Physics 2024-01-18 P. Fernandez de Cordoba , J. M. Isidro , Rudranil Roy

The infinite dimensional generalization of the quantum mechanics of extended objects, namely, the quantum field theory of extended objects is presented. The paradigm example studied in this paper is the Euclidean scalar field with a…

High Energy Physics - Theory · Physics 2009-09-25 Ramchander R. Sastry

We perform the study of perturbative aspects of a three-dimensional supersymmetric Maxwell-Chern-Simons-Proca theory minimally coupled to scalar superfields. Using the superfield formalism, we derive the propagators for both gauge and…

High Energy Physics - Theory · Physics 2025-06-10 A. C. Lehum , J. R. Nascimento , A. C. Pina Neto , A. Yu. Petrov

This letter treats the quantum random walk on the line determined by a 2 times 2 unitary matrix U. A combinatorial expression for the mth moment of the quantum random walk is presented by using 4 matrices, P, Q, R and S given by U. The…

Quantum Physics · Physics 2007-05-23 Norio Konno

We develop a reformulation of the functional integral for bosons in terms of bilocal fields. Correlation functions correspond to quantum probabilities instead of probability amplitudes. Discrete and continuous global symmetries can be…

High Energy Physics - Theory · Physics 2010-04-14 S. Floerchinger

Symmetries of generalized gravitational actions, yielding field equations which typically involve at most second-order derivatives of the metric, are considered. The field equations for several different higher-derivative theories in the…

General Relativity and Quantum Cosmology · Physics 2015-06-25 Simon Davis

The {\em cutting and sewing} procedure is used for getting two-loop order Feynman diagrams of $\Phi^{4}$-theory with an internal SU(N) symmetry group, starting from tachyon amplitudes of the open bosonic string theory. In a suitably defined…

High Energy Physics - Theory · Physics 2007-05-23 R. Marotta , F. Pezzella

We describe a notion of "higher" Wess-Zumino-Witten-like action which is natural in the context of superstring field theories formulated in the large Hilbert space. For the open string, the action is characterized by a pair of commuting…

High Energy Physics - Theory · Physics 2017-10-23 Theodore Erler

Real-valued parameters of quantum field theory, such as Planck constant, coupling constants, temperature and spacetime metric, chemical potentials or background gauge fields can be made complex. In perturbative string theory, the worldsheet…

High Energy Physics - Theory · Physics 2023-10-04 Nikita Nekrasov

We consider a class of tachyon-like potentials, inspired by string theory, D-brane dynamics and cosmology in the context of classical and quantum mechanics. Motivated by the trans-Plankcian problem in the very early stage of cosmological…

General Relativity and Quantum Cosmology · Physics 2016-01-01 Dragoljub D. Dimitrijevic , Goran S. Djordjevic , Milan Milosevic

Far-from-equilibrium dynamics of SU(2) gauge theory with Wilson fermions is studied in 1+1 space-time dimensions using a real-time lattice approach. Lattice improved Hamiltonians are shown to be very efficient in simulating Schwinger pair…

High Energy Physics - Phenomenology · Physics 2019-03-05 D. Spitz , J. Berges

We study a new two-dimensional quantum gravity theory, based on a gravitational action containing both the familiar Liouville term and the Mabuchi functional, which has been shown to be related to the coupling of non-conformal matter to…

High Energy Physics - Theory · Physics 2014-10-27 Adel Bilal , Frank Ferrari , Semyon Klevtsov

The section condition in double field theory has been shown to imply that a physical point should be one-to-one identified with a gauge orbit in the doubled coordinate space. Here we show the converse is also true, and continue to explore…

High Energy Physics - Theory · Physics 2014-01-22 Kanghoon Lee , Jeong-Hyuck Park

This note is an introduction to methods of construction for Hilbert space realizations of relativistic quantum physics. The realizations satisfy a revision to Wightman's functional analytic axioms and exhibit interaction in physical…

Mathematical Physics · Physics 2015-03-03 Glenn Eric Johnson

A unified classification and analysis is presented of two dimensional Dirac operators of QCD-like theories in the continuum as well as in a naive lattice discretization. Thereby we consider the quenched theory in the strong coupling limit.…

High Energy Physics - Lattice · Physics 2013-10-28 Mario Kieburg , Jacobus J. M. Verbaarschot , Savvas Zafeiropoulos

We consider two-dimensional Yang-Mills theories on arbitrary Riemann surfaces. We introduce a generalized Yang-Mills action, which coincides with the ordinary one on flat surfaces but differs from it in its coupling to two-dimensional…

High Energy Physics - Theory · Physics 2009-10-31 M. Billo' , M. Caselle , A. D'adda , P. Provero

We develop further a new geometrical model of a discretized string, proposed in [1] and establish its basic physical properties. The model can be considered as the natural extention of the usual Feynman amplitude of the random walks to…

High Energy Physics - Theory · Physics 2023-02-13 G. Savvidy , K. Savvidy