QCD AND SUPERSYMMETRY

2010 ◽  
Vol 25 (02n03) ◽  
pp. 470-489
Author(s):  
ADI ARMONI
Keyword(s):  
Gauge Theories ◽  
Quark Condensate ◽  
Supersymmetric Gauge Theories ◽  
Yang Mills ◽  
The Third ◽  
Large N ◽  
Supersymmetric Gauge ◽  
Supersymmetric Theories ◽  
Theory Formula

We review the connection between QCD and supersymmetric theories. We focus on the non-perturbative large- N (planar) correspondence between one-flavor QCD and pure supersymmetric Yang-Mills theory ([Formula: see text]). We explain how non-perturbative quantities in QCD, such as the quark condensate, can be evaluated by using the corresponding non-perturbative results in supersymmetric gauge theories. The review consists of three parts. The first part is devoted to a review of pure [Formula: see text]. In the second part we introduce "orientifold planar equivalence". The third part is devoted to the implications of planar equivalence for QCD.

scholarly journals ISOMONODROMIC DEFORMATIONS AND SUPERSYMMETRIC GAUGE THEORIES

1996 ◽  
Vol 11 (31) ◽  
pp. 5505-5518 ◽  
Author(s):  
KANEHISA TAKASAKI ◽  
TOSHIO NAKATSU
Keyword(s):  
Multiscale Analysis ◽  
Gauge Theories ◽  
Unified Framework ◽  
Supersymmetric Gauge Theories ◽  
Isomonodromic Deformations ◽  
Implicit Relation ◽  
Yang Mills ◽  
The Third ◽  
Isospectral Problem ◽  
Supersymmetric Gauge

Seiberg-Witten solutions of four-dimensional supersymmetric gauge theories possess rich but involved integrable structures. The goal of this paper is to show that an isomonodromy problem provides a unified framework for understanding those various features of integrability. The Seiberg-Witten solution itself can be interpreted as a WKB limit of this isomonodromy problem. The origin of underlying Whitham dynamics (adiabatic deformation of an isospectral problem) too can be similarly explained by a more refined asymptotic method (multiscale analysis). The case of N = 2 SU (s) supersymmetric Yang-Mills theory without matter is considered in detail for illustration. The isomonodromy problem in this case is closely related to the third Painlevé equation and its multicomponent analogs. An implicit relation to [Formula: see text] fusion of topological sigma models is thereby expected.

scholarly journals β-functions in large-N supersymmetric gauge theories

1997 ◽  
Vol 504 (1-2) ◽  
pp. 108-126 ◽  
Author(s):  
PM. Ferreira ◽  
I. Jack ◽  
D.R.T. Jones ◽  
C.G. North
Keyword(s):  
Gauge Theories ◽  
Supersymmetric Gauge Theories ◽  
Large N ◽  
Supersymmetric Gauge

Sp(2) INVARIANT BRST FORMALISM, SUPERSYMMETRY AND WESS-ZUMINO GAUGES

1986 ◽  
Vol 01 (02) ◽  
pp. 95-101
Author(s):  
R. DELBOURGO ◽  
P.D. JARVIS ◽  
G. THOMPSON
Keyword(s):  
Gauge Theories ◽  
Field Structure ◽  
Auxiliary Field ◽  
Covariant Quantization ◽  
Supersymmetric Gauge Theories ◽  
Yang Mills ◽  
Gauge Fixing ◽  
Supersymmetric Gauge

Covariant quantization of Fermi-Bose supersymmetric gauge theories is formulated within an enlarged superspace (xµ, θα, ξm) with manifest ξ-supertranslation (=extended BRST) and Sp(2) invariance. In Wess-Zumino gauges, the correct ghost and auxiliary field structure emerges by counting arguments for the (N=1) super-Yang-Mills, conformal and Einstein supergravity cases. The super-Yang-Mills case is analyzed in detail for both supercovariant and Wess-Zumino gauge-fixing, with particular emphasis on the Sp(2) assignments of the ghost superfields.

scholarly journals Continuum limit of SU(3) $\mathcal{N}=1$ supersymmetric Yang-Mills theory and supersymmetric gauge theories on the lattice

2020 ◽  
Author(s):  
Georg Bergner ◽  
Sajid Ali ◽  
Henning Gerber ◽  
Camilo Lopez ◽  
Istvan Montvay ◽  
...  
Keyword(s):  
Continuum Limit ◽  
Gauge Theories ◽  
Supersymmetric Gauge Theories ◽  
Yang Mills ◽  
Supersymmetric Gauge

scholarly journals On the component structure of one-loop effective actions in 6D, 𝒩 = (1,0) and 𝒩 = (1,1) supersymmetric gauge theories

2019 ◽  
Vol 35 (09) ◽  
pp. 2050060 ◽  
Author(s):  
I. L. Buchbinder ◽  
A. S. Budekhina ◽  
B. S. Merzlikin
Keyword(s):  
Effective Potential ◽  
Effective Action ◽  
Gauge Theories ◽  
Scalar Fields ◽  
Low Energy ◽  
Supersymmetric Gauge Theories ◽  
Component Structure ◽  
Yang Mills ◽  
Supersymmetric Gauge ◽  
The One

We study the six-dimensional [Formula: see text] and [Formula: see text] supersymmetric Yang–Mills (SYM) theories in the component formulation. The one-loop divergencies of effective action are calculated. The leading one-loop low-energy contributions to bosonic sector of effective action are found. It is explicitly demonstrated that the contributions to effective potential for the constant background scalar fields are absent in the [Formula: see text] SYM theory.

TWISTOR-LIKE APPROACH TO SUPERSYMMETRIC GAUGE THEORIES

1994 ◽  
Vol 09 (32) ◽  
pp. 5635-5649
Author(s):  
HIROYUKI YAMASHITA
Keyword(s):  
Infinite Series ◽  
Gauge Theories ◽  
Supersymmetric Gauge Theories ◽  
Yang Mills ◽  
Constraint Equations ◽  
Abelian Case ◽  
Supersymmetric Gauge ◽  
Special Case

We consider the constraint conditions on the supersymmetric Yang-Mills theories in D=6, N=1, which are gauge- and super-covariant. These constraint conditions have been introduced to remove superfluous fields. We present a method to tell how and to what degree the constraint restricts the theory in the D=6, N=1 Abelian case by analogy with the twistor method for self-dual equations. The constraint is transformed into an infinite series of constraint equations. We find that a previously known theory in D=6, N=1 corresponds to a special case which is chosen so that the series is finite.

scholarly journals DEFORMED SUPERSYMMETRIC GAUGE THEORIES FROM THE FLUXTRAP BACKGROUND

2013 ◽  
Vol 28 (28) ◽  
pp. 1330044 ◽  
Author(s):  
DOMENICO ORLANDO ◽  
SUSANNE REFFERT
Keyword(s):  
String Theory ◽  
Gauge Theories ◽  
Recent Literature ◽  
Supersymmetric Gauge Theories ◽  
Four Dimensions ◽  
Yang Mills ◽  
Supersymmetric Gauge ◽  
M Theory ◽  
Super Yang Mills Theory ◽  
Gravity Duals

The fluxtrap background of string theory provides a transparent and algorithmic way of constructing supersymmetric gauge theories with both mass and Ω-type deformations in various dimensions. In this paper, we review a number of deformed supersymmetric gauge theories in two and four dimensions which can be obtained via the fluxtrap background from string or M-theory. Such theories, the most well-known being Ω-deformed super-Yang–Mills theory in four dimensions, have met with a lot of interest in the recent literature. The string theory treatment offers many new avenues of analysis and applications, such as for example the study of the gravity duals for deformed [Formula: see text] gauge theories.

scholarly journals Perturbative linearization of supersymmetric Yang-Mills theory

2020 ◽  
Vol 2020 (10) ◽  
Author(s):  
Sudarshan Ananth ◽  
Olaf Lechtenfeld ◽  
Hannes Malcha ◽  
Hermann Nicolai ◽  
Chetan Pandey ◽  
...  
Keyword(s):  
Gauge Theories ◽  
Second Order ◽  
Coupling Constant ◽  
Supersymmetric Gauge Theories ◽  
Third Order ◽  
Yang Mills ◽  
Fresh Perspective ◽  
Supersymmetric Gauge ◽  
Jacobi Determinant

Abstract Supersymmetric gauge theories are characterized by the existence of a transformation of the bosonic fields (Nicolai map) such that the Jacobi determinant of the transformation equals the product of the Matthews-Salam-Seiler and Faddeev-Popov determinants. This transformation had been worked out to second order in the coupling constant. In this paper, we extend this result (and the framework itself ) to third order in the coupling constant. A diagrammatic approach in terms of tree diagrams, aiming to extend this map to arbitrary orders, is outlined. This formalism bypasses entirely the use of anti-commuting variables, as well as issues concerning the (non-)existence of off-shell formulations for these theories. It thus offers a fresh perspective on supersymmetric gauge theories and, in particular, the ubiquitous $$ \mathcal{N} $$ N = 4 theory.

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