scholarly journals Space-time S-matrix and flux-tube S-matrix IV. Gluons and fusion

2014 ◽  
Vol 2014 (9) ◽  
Author(s):  
Benjamin Basso ◽  
Amit Sever ◽  
Pedro Vieira
Keyword(s):  
Flux Tube ◽  
Space Time ◽  
S Matrix

scholarly journals Space-time S-matrix and flux tube S-matrix II. Extracting and matching data

2014 ◽  
Vol 2014 (1) ◽  
Author(s):  
Benjamin Basso ◽  
Amit Sever ◽  
Pedro Vieira
Keyword(s):  
Flux Tube ◽  
Space Time ◽  
S Matrix

scholarly journals Space-time S-matrix and flux-tube S-matrix III. The two-particle contributions

2014 ◽  
Vol 2014 (8) ◽  
Author(s):  
Benjamin Basso ◽  
Amit Sever ◽  
Pedro Vieira
Keyword(s):  
Flux Tube ◽  
Space Time ◽  
S Matrix

scholarly journals Intertwining operator in thermal CFTd

2017 ◽  
Vol 32 (02n03) ◽  
pp. 1750006 ◽  
Author(s):  
Satoshi Ohya
Keyword(s):  
Momentum Space ◽  
Recurrence Relations ◽  
Algebraic Approach ◽  
Space Time ◽  
Conformal Algebra ◽  
Linear Recurrence ◽  
Intertwining Operators ◽  
Intertwining Operator ◽  
Primary Operator ◽  
S Matrix

It has long been known that two-point functions of conformal field theory (CFT) are nothing but the integral kernels of intertwining operators for two equivalent representations of conformal algebra. Such intertwining operators are known to fulfill some operator identities — the intertwining relations — in the representation space of conformal algebra. Meanwhile, it has been known that the S-matrix operator in scattering theory is nothing but the intertwining operator between the Hilbert spaces of in- and out-particles. Inspired by this algebraic resemblance, in this paper, we develop a simple Lie-algebraic approach to momentum-space two-point functions of thermal CFT living on the hyperbolic space–time [Formula: see text] by exploiting the idea of Kerimov’s intertwining operator approach to exact S-matrix. We show that in thermal CFT on [Formula: see text], the intertwining relations reduce to certain linear recurrence relations for two-point functions in the complex momentum space. By solving these recurrence relations, we obtain the momentum-space representations of advanced and retarded two-point functions as well as positive- and negative-frequency two-point Wightman functions for a scalar primary operator in arbitrary space–time dimension [Formula: see text].

scholarly journals Closed superstring field theory and its applications

2017 ◽  
Vol 32 (28n29) ◽  
pp. 1730021 ◽  
Author(s):  
Corinne de Lacroix ◽  
Harold Erbin ◽  
Sitender Pratap Kashyap ◽  
Ashoke Sen ◽  
Mritunjay Verma
Keyword(s):  
Field Theory ◽  
Vacuum Expectation ◽  
Space Time ◽  
Field Theories ◽  
Quantum Corrections ◽  
Type Ii ◽  
Expectation Values ◽  
S Matrix ◽  
Recent Developments ◽  
Infrared Divergences

We review recent developments in the construction of heterotic and type II string field theories and their various applications. These include systematic procedures for determining the shifts in the vacuum expectation values of fields under quantum corrections, computing renormalized masses and S-matrix of the theory around the shifted vacuum and a proof of unitarity of the S-matrix. The S-matrix computed this way is free from all divergences when there are more than 4 noncompact space–time dimensions, but suffers from the usual infrared divergences when the number of noncompact space–time dimensions is 4 or less.

scholarly journals Unification of the Maxwell-Einstein-Dirac Correspondence

2019 ◽  
Author(s):  
Wim Vegt
Keyword(s):  
Field Theory ◽  
General Relativity ◽  
String Theory ◽  
Dimensional Space ◽  
Space Time ◽  
Unified Field ◽  
S Matrix ◽  
Klein Theory ◽  
Dimensional Space Time ◽  
Kaluza Klein

Albert Einstein, Lorentz and Minkowski published in 1905 the Theory of Special Relativity and Einstein published in 1915 his field theory of general relativity based on a curved 4-dimensional space-time continuum to integrate the gravitational field and the electromagnetic field in one unified field. Since then the method of Einstein’s unifying field theory has been developed by many others in more than 4 dimensions resulting finally in the well-known 10-dimensional and 11-dimensional “string theory”. String theory is an outgrowth of S-matrix theory, a research program begun by Werner Heisenberg in 1943 (following John Archibald Wheeler‘s(3) 1937 introduction of the S-matrix), picked up and advocated by many prominent theorists starting in the late 1950’s.Theodor Franz Eduard Kaluza (1885-1954), was a German mathematician and physicist well-known for the Kaluza–Klein theory involving field equations in curved five-dimensional space. His idea that fundamental forces can be unified by introducing additional dimensions re-emerged much later in the “String Theory”.The original Kaluza-Klein theory was one of the first attempts to create an unified field theory i.e. the theory, which would unify all the forces under one fundamental law. It was published in 1921 by Theodor Kaluza and extended in 1926 by Oskar Klein. The basic idea of this theory was to postulate one extra compactified space dimension and introduce nothing but pure gravity in a new (1 + 4)-dimensional space-time. Klein suggested that the fifth dimension would be rolled up into a tiny, compact loop on the order of 10-35 [m]The presented "New Unification Theory" unifies Classical Electrodynamics with General Relativity and Quantum Physics

A modern guide to 𝜃-Poincaré

2020 ◽  
Vol 35 (32) ◽  
pp. 2042003
Author(s):  
Andrea Addazi ◽  
Antonino Marcianò
Keyword(s):  
Pauli Principle ◽  
Space Time ◽  
Noncommutative Space ◽  
Quantum Field ◽  
Time Model ◽  
Recent Interest ◽  
S Matrix ◽  
Moyal Plane ◽  
Space Time Model ◽  
Spin Statistic

Motivated by the recent interest in underground experiments phenomenology (see Refs. 1–3), we review the main aspects of one specific noncommutative space–time model, based on the Groenewold–Moyal plane algebra, the [Formula: see text]-Poincaré space–time. In the [Formula: see text]-Poincaré scenario, the Lorentz co-algebra is deformed introducing a noncommutativity of space–time coordinates. In such a theory, a new quantum field theory in noncommutative space–time can be reformulated. Tackling on several conceptual misunderstanding and technical mistakes in the literature, we will focus on several issues such: (i) the construction of fields theories in [Formula: see text]-Poincaré; (ii) the unitarity of the S-matrix; (iii) the violation of locality, (iv) the violation of the spin-statistic theorem and the Pauli principle; (v) the observables for underground experiments.

scholarly journals Flux Tube S -Matrix Bootstrap

2019 ◽  
Vol 123 (22) ◽  
Author(s):  
Joan Elias Miró ◽  
Andrea L. Guerrieri ◽  
Aditya Hebbar ◽  
João Penedones ◽  
Pedro Vieira
Keyword(s):  
Flux Tube ◽  
S Matrix
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