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New Approach to Field Theory

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TLDR
In this article, a field theory is quantized covariantly on Lorentz-invariant surfaces, and a covariant thermodynamics is developed, with which the Hagedorn spectrum can be obtained, given further hypotheses.
Abstract
A field theory is quantized covariantly on Lorentz-invariant surfaces. Dilatations replace time translations as dynamical equations of motion. This leads to an operator formulation for Euclidean quantum field theory. A covariant thermodynamics is developed, with which the Hagedorn spectrum can be obtained, given further hypotheses. The Virasoro algebra of the dual resonance model is derived in a wide class of 2-dimensional Euclidean field theories.

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The Geometry of String Perturbation Theory

TL;DR: In this paper, recent progress made towards the understanding of closed bosonic and fermionic string perturbation theory, formulated in a Lorentz-covariant way on Euclidean space-time, is devoted to recent progress.
Posted Content

Supersymmetric Gauge Theories and the AdS/CFT Correspondence

TL;DR: In this paper, the basic ingredients of supersymmetric gauge theories (particularly N=4 super-Yang-Mills theory), supergravity, and superstring theory are assembled, and Brane solutions are surveyed.
Journal ArticleDOI

The Creation of the Universe as a Quantum Phenomenon

TL;DR: In this article, the universe is conceived as the response of matter and the gravitational field to a spontaneous point-like disturbance, and the history unfolds in two stages, creation and free expansion.

Supersymmetric gauge theories and the AdS / CFT correspondence

TL;DR: In this paper, the basic ingredients of supersymmetric gauge theories (particularly N=4 super-Yang-Mills theory), supergravity, and superstring theory are assembled, and Brane solutions are surveyed.
Journal ArticleDOI

A relation between approaches to integrability in superconformal Yang-Mills theory

TL;DR: In this article, the authors make contact between the infinite-dimensional non-local symmetry of the type-IIB superstring on AdS5 × S5 and a non-abelian infinite dimensional symmetry algebra for the weakly coupled superconformal gauge theory.
References
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Journal ArticleDOI

Forms of Relativistic Dynamics

TL;DR: In this paper, the authors combine the restricted principle of relativity with the hamiltonian formulation of dynamics, which leads to the appearance of ten fundamental quantities for each dynamical system, namely the total energy, the total momentum and the 6-vector which has three components equal to the total angular momentum.
Journal ArticleDOI

A new improved energy-momentum tensor

TL;DR: In this paper, it was shown that the matrix elements of the symmetric energy-momentum tensor are cut-off dependent in renormalized perturbation theory for most renormalizable field theories.
Journal ArticleDOI

Relativistic quantum mechanics of one-dimensional mechanical continuum and subsidiary condition of dual resonance model

TL;DR: In this article, it was shown that the wave equation and subsidiary conditions found by Virasoro in the dual resonance model are equivalent to relativistic quantum mechanics in our system.
Journal ArticleDOI

Quantum Electrodynamics in the Infinite-Momentum Frame

TL;DR: In this article, the formal foundations of quantum electrodynamics in the infinite-momentum frame were examined and a perturbation expansion for the S$ matrix was derived.
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