On the representation of scattering amplitudes as path integrals in quantum field theory

1971 ◽  
Vol 9 (1) ◽  
pp. 968-978 ◽  
Author(s):  
V. A. Matveev ◽  
A. N. Tavkhelidze
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Scattering Amplitudes ◽  
Path Integrals ◽  
Quantum Field

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.

Quantum Field Theory: From Operators to Path Integrals

Physics Today ◽  
1999 ◽  
Vol 52 (11) ◽  
pp. 66-68 ◽  
Author(s):  
Kerson Huang ◽  
Michael E. Peskin
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Path Integrals ◽  
Quantum Field

Fermions and Functional Formalism

2017 ◽  
Author(s):  
Laurent Baulieu ◽  
John Iliopoulos ◽  
Roland Sénéor
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Quantum Mechanics ◽  
Clifford Algebras ◽  
Path Integrals ◽  
Quantum Field ◽  
Functional Formalism ◽  
Grassmannian Manifold ◽  
Spinor Fields

The introduction of spinor fields and the problem of the positivity of the energy. Need for anti-commutators. Calculus in a Grassmannian manifold, the Berezin integral. Clifford algebras. Quantum mechanics and quantum field theory with fermions. The use of path integrals.

Introduction to scattering amplitudes

2019 ◽  
pp. 183-204
Author(s):  
David A. Kosower
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Scattering Amplitudes ◽  
Traditional Approach ◽  
Feynman Diagrams ◽  
Quantum Field ◽  
The Past

This chapter covers the new on-shell methods that have been developed over the past twenty years for computing scattering amplitudes in quantum field theory. These methods break free from the traditional approach of Feynman diagrams. The chapter covers a subset of topics, setting up the basic kinematics, spinor helicities, spinor products, and the calculation of tree amplitudes.

scholarly journals On the singular behaviour of scattering amplitudes in quantum field theory

2014 ◽  
Vol 2014 (11) ◽  
Author(s):  
Sebastian Buchta ◽  
Grigorios Chachamis ◽  
Petros Draggiotis ◽  
Ioannis Malamos ◽  
Germán Rodrigo
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Scattering Amplitudes ◽  
Quantum Field ◽  
Singular Behaviour

scholarly journals Complexified path integrals and the phases of quantum field theory

2010 ◽  
Vol 325 (11) ◽  
pp. 2486-2498 ◽  
Author(s):  
G. Guralnik ◽  
Z. Guralnik
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Path Integrals ◽  
Quantum Field

scholarly journals Fixing the non-relativistic expansion of the 1PM potential

2020 ◽  
Vol 2020 (12) ◽  
Author(s):  
Gianluca Grignani ◽  
Troels Harmark ◽  
Marta Orselli ◽  
Andrea Placidi
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Scattering Amplitudes ◽  
Canonical Transformation ◽  
Effective Potential ◽  
Scattering Amplitude ◽  
Quantum Field ◽  
First Order ◽  
Scalar Matter ◽  
Frame Dependence

Abstract We obtain a first order post-Minkowskian two-body effective potential whose post-Newtonian expansion directly reproduces the Einstein-Infeld-Hoffmann potential. Post-Minkowskian potentials can be extracted from on-shell scattering amplitudes in a quantum field theory of scalar matter coupled to gravity. Previously, such potentials did not reproduce the Einstein-Infeld-Hoffmann potential without employing a suitable canonical transformation. In this work, we resolve this issue by obtaining a new expression for the first-order post-Minkowskian potential. This is accomplished by exploiting the reference frame dependence that arises in the scattering amplitude computation. Finally, as a check on our result, we demonstrate that our new potential gives the correct scattering angle.

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