scholarly journals DUALITY OF STRING AMPLITUDES IN A CURVED BACKGROUND

1993 ◽  
Vol 08 (30) ◽  
pp. 5409-5440
Author(s):  
MÅNS HENNINGSON
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Scattering Amplitudes ◽  
String Theory ◽  
Target Space ◽  
Quantum Field ◽  
Group Manifold ◽  
String Amplitudes ◽  
Theory Calculation ◽  
The Relationship

We initiate a program to study the relationship between the target space, the spectrum and the scattering amplitudes in string theory. We consider scattering amplitudes following from string theory and quantum field theory on a curved target space, which is taken to be the SU(2) group manifold, with special attention given to the duality between contributions from different channels. We give a simple example of the equivalence between amplitudes coming from string theory and quantum field theory, and compute the general form of a four-scalar field-theoretical amplitude. The corresponding string theory calculation is performed for a special case, and we discuss how more general string theory amplitudes could be evaluated.

scholarly journals Advances in String Theory in Curved Backgrounds: A Synthesis Report

2003 ◽  
Vol 18 (12) ◽  
pp. 2011-2022 ◽  
Author(s):  
N. G. Sanchez
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
String Theory ◽  
Quantum Field ◽  
De Sitter ◽  
Conformal Field ◽  
Dual Relation ◽  
New Feature ◽  
Synthesis Report ◽  
Gravitational Wave Background

A synthetic report of the advances in the study of classical and quantum string dynamics in curved backgrounds is provided, namely : the new feature of Multistring solutions; the mass spectrum of Strings in Curved backgrounds; The effect of a Cosmological Constant and of Spacial Curvature on Classical and Quantum Strings; Classical splitting of Fundamental Strings; The General String Evolution in constant Curvature Spacetimes; The Conformal Invariance Effects; Strings on plane fronted and gravitational shock waves, string falling on spacetime singularities and its spectrum. New Developments in String Gravity and String Cosmology are reported: String driven cosmology and its Predictions; The primordial gravitational wave background; Non-singular string cosmologies from Exact Conformal Field Theories; Quantum Field Theory, String Temperature and the String Phase of de Sitter space-time; Hawking Radiation in String Theory and the String Phase of Black Holes; New Dual Relation between Quantum Field Theory regime and String regime and the "QFT/String Tango"; New Coherent String States and Minimal Uncertainty Principle in string theory.

scholarly journals Duality in quantum field theory (and string theory)

1998 ◽  
Author(s):  
Luis Álvarez-Gaumé ◽  
Frederic Zamora
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
String Theory ◽  
Quantum Field

scholarly journals Exploring the thermodynamics of noncommutative scalar fields

2016 ◽  
Vol 31 (11) ◽  
pp. 1650057 ◽  
Author(s):  
Francisco A. Brito ◽  
Elisama E. M. Lima
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Thermodynamic Properties ◽  
Scalar Fields ◽  
Einstein Condensate ◽  
Target Space ◽  
Quantum Field ◽  
Condensate Fraction ◽  
Bose Einstein Condensate ◽  
Bose Einstein

We study the thermodynamic properties of the Bose–Einstein condensate (BEC) in the context of the quantum field theory with noncommutative target space. Our main goal is to investigate in which temperature and/or energy regimes the noncommutativity can characterize some influence on the BEC properties described by a relativistic massive noncommutative boson gas. The noncommutativity parameters play a key role in the modified dispersion relations of the noncommutative fields, leading to a new phenomenology. We have obtained the condensate fraction, internal energy, pressure and specific heat of the system and taken ultrarelativistic (UR) and nonrelativistic (NR) limits. The noncommutative effects on the thermodynamic properties of the system are discussed. We found that there appear interesting signatures around the critical temperature.

scholarly journals A NONASSOCIATIVE QUATERNION SCALAR FIELD THEORY

2013 ◽  
Vol 28 (35) ◽  
pp. 1350163 ◽  
Author(s):  
SERGIO GIARDINO ◽  
PAULO TEOTÔNIO-SOBRINHO
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Scalar Field ◽  
String Theory ◽  
Hopf Algebra ◽  
Scalar Product ◽  
Quantum Field ◽  
Quantum Algebras ◽  
Function Algebras ◽  
Nonlinear Quantum

A nonassociative Groenewold–Moyal (GM) plane is constructed using quaternion-valued function algebras. The symmetrized multiparticle states, the scalar product, the annihilation/creation algebra and the formulation in terms of a Hopf algebra are also developed. Nonassociative quantum algebras in terms of position and momentum operators are given as the simplest examples of a framework whose applications may involve string theory and nonlinear quantum field theory.

scholarly journals Matter-antimatter asymmetry and non-inertial effects

2021 ◽  
Vol 2021 (3) ◽  
Author(s):  
V. M. G. Silveira ◽  
C. A. Z. Vasconcellos ◽  
E. G. S. Luna ◽  
D. Hadjimichef
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Unruh Effect ◽  
Quantum Field ◽  
Inertial Effects ◽  
Curved Spacetimes ◽  
Thermal Phenomena ◽  
The Relationship ◽  
Very High ◽  
Accelerated Particles

Abstract We investigate non-inertial effects on CP-violating processes using a model, based on the framework of quantum field theory in curved spacetimes, devised to account for the decay of accelerated particles. We show that the CP violation parameter for the decay of accelerated kaons into two pions decreases very slightly as very high accelerations are achieved, implying decreased asymmetry between matter and antimatter in this regime. We discuss the relationship between these results and cosmological processes surrounding matter-antimatter asymmetry and argue that, due to the connection between non-inertial and thermal phenomena established by the Unruh effect, this kind of computation may prove useful in furthering the understanding of thermodynamical effects in curved spacetimes.

scholarly journals On the Genus Distribution of $(p,q,n)$-Dipoles

10.37236/930 ◽  
2007 ◽  
Vol 14 (1) ◽  
Author(s):  
Terry I. Visentin ◽  
Susana W. Wieler
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
String Theory ◽  
Exact Formula ◽  
Quantum Field ◽  
Physical Sciences ◽  
Feynman Graphs ◽  
Genus 2 ◽  
Pp Wave ◽  
Double Torus

There are many applications of the enumeration of maps in surfaces to other areas of mathematics and the physical sciences. In particular, in quantum field theory and string theory, there are many examples of occasions where it is necessary to sum over all the Feynman graphs of a certain type. In a recent paper of Constable et al. on pp-wave string interactions, they must sum over a class of Feynman graphs which are equivalent to what we call $(p,q,n)$-dipoles. In this paper we perform a combinatorial analysis that gives an exact formula for the number of $(p,q,n)$-dipoles in the torus (genus 1) and double torus (genus 2).

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