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We introduce a spectral approach to non-perturbative field theory within the periodic field formalism. As an example we calculate the real and imaginary parts of the propagator in 1+1 dimensional phi^4 theory, identifying both one-particle…

High Energy Physics - Theory · Physics 2009-10-31 Nathan Salwen , Dean Lee

The explicit form of the quantum propagator of a bosonic p-brane, previously obtained by the authors in the quenched-minisuperspace approximation, suggests the possibility of a novel, unified, description of p-branes with different…

High Energy Physics - Theory · Physics 2009-11-07 Antonio Aurilia , Stefano Ansoldi , Euro Spallucci

We present simple models which exhibit some of the remarkable features expected to hold for the as yet unknown non-perturbative formulation of string theories. Among these are: (a) the absence of a background or embedding space for the full…

High Energy Physics - Theory · Physics 2008-11-26 T. Filk

We study the dynamics of strings by means of a distribution function f(A, B, x, t) defined on a 9+1D phase space, where A and B are the correlation vectors of right- and left-moving waves. We derive a transport equation (an analogous to…

High Energy Physics - Theory · Physics 2011-06-07 Vitaly Vanchurin

A connection between non-perturbative formulations of quantum gravity and perturbative string theory is exhibited, based on a formulation of the non-perturbative dynamics due to Markopoulou. In this formulation the dynamics of spin network…

High Energy Physics - Theory · Physics 2009-10-31 Lee Smolin

Constrained symplectic quantization is a functional formulation of quantum field theory in which quantum fluctuations are sampled through a deterministic Hamiltonian flow in an auxiliary intrinsic time $\tau$. In this paper we extend the…

High Energy Physics - Theory · Physics 2026-05-27 Francesco Scardino , Martina Giachello , Giacomo Gradenigo

We quantize super Yang-Mills action in $\mathcal{N}=3$ harmonic superspace using "Fermi-Feynman" gauge and also develop the background field formalism. This leads to simpler propagators and Feynman rules that are useful in performing…

High Energy Physics - Theory · Physics 2020-09-28 Dharmesh Jain , Chia-Yi Ju , Warren Siegel

We present calculations for the effective action of string world sheet in R3 and R4 utilizing its correspondence with the constrained Grassmannian sigma model. Minimal surfaces describe the dynamics of open strings while harmonic surfaces…

High Energy Physics - Lattice · Physics 2009-10-22 K. S. Viswanathan , R. Parthasarathy

A particular family of Discrete Time Quantum Walks (DTQWs) simulating fermion propagation in $2$D curved space-time is revisited. Usual continuous covariant derivatives and spin-connections are generalized into discrete covariant…

Quantum Physics · Physics 2019-03-01 Fabrice Debbasch

Ideas presented in two earlier papers are applied to string theory. It had been found that a deterministic cellular automaton in one space- and one time dimension can be mapped onto a bosonic quantum field theory on a 1+1 dimensional…

High Energy Physics - Theory · Physics 2012-09-18 Gerard 't Hooft

We evaluate the quantum corrections of the Einstein-Hilbert action with boundaries in the $2+\epsilon$ dimensional expansion approach. We find the Einstein-Hilbert action with boundaries to be renormalizable to the one loop order. We…

High Energy Physics - Theory · Physics 2010-11-01 T. Aida , Y. Kitazawa

Using target space null reduction of the Polyakov action we find a novel covariant action for strings moving in a torsional Newton-Cartan geometry. Sending the string tension to zero while rescaling the Newton-Cartan clock 1-form, so as to…

High Energy Physics - Theory · Physics 2017-11-01 Troels Harmark , Jelle Hartong , Niels A. Obers

With advances in quantum computing, new opportunities arise to tackle challenging calculations in quantum field theory. We show that trotterized time-evolution operators can be related by analytic continuation to the Euclidean transfer…

High Energy Physics - Lattice · Physics 2021-12-08 Marcela Carena , Henry Lamm , Ying-Ying Li , Wanqiang Liu

We treat the probability distributions for quadratic quantum fields, averaged with a Lorentzian test function, in four-dimensional Minkowski vacuum. These distributions share some properties with previous results in two-dimensional…

Quantum Physics · Physics 2012-09-06 Christopher J. Fewster , L. H. Ford , Thomas A. Roman

When the gauge instantons on the N=2 string worldsheet are properly included in the sum over topologies, the breaking of SO(2,2) Lorentz symmetry in R^{2,2} is parametrized by a spacetime twistor containing the string coupling and theta…

High Energy Physics - Theory · Physics 2009-10-30 Olaf Lechtenfeld , Warren Siegel

The generalization of the effective action [1] of the quark--antiquark system in the confining vacuum is performed for the case of arbitrary quark masses. The interaction of quarks is described by the averaged Wilson loop for which we use…

High Energy Physics - Phenomenology · Physics 2009-10-28 E. L. Gubankova , A. Yu. Dubin

We review the status and present range of applications of the ``string-inspired'' approach to perturbative quantum field theory. This formalism offers the possibility of computing effective actions and S-matrix elements in a way which is…

High Energy Physics - Theory · Physics 2009-11-07 Christian Schubert

The present paper is devoted to various objects of the infinite dimensional W-geometry of a second quantized free string. Our purpose is to include the W-symmetries into the general infinite dimensional geometrical picture related to the…

High Energy Physics - Theory · Physics 2009-10-28 D. Juriev

We construct an action for four-dimensional extended string Newton-Cartan gravity which is an extension of the string Newton-Cartan gravity that underlies nonrelativistic string theory. The action can be obtained as a nonrelativistic limit…

High Energy Physics - Theory · Physics 2019-02-20 Eric Bergshoeff , Kevin Grosvenor , Ceyda Simsek , Ziqi Yan

The worldline approach to Quantum Field Theory (QFT) allows to efficiently compute several quantities, such as one-loop effective actions, scattering amplitudes and anomalies, which are linked to particle path integrals on the circle. A…

High Energy Physics - Theory · Physics 2018-11-07 Olindo Corradini , Maurizio Muratori
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