scholarly journals 4D N = 1 SYM supercurrent on the lattice in terms of the gradient flow

2018 ◽  
Vol 175 ◽  
pp. 11014
Author(s):  
Kenji Hieda ◽  
Aya Kasai ◽  
Hiroki Makino ◽  
Hiroshi Suzuki
Keyword(s):  
Gradient Flow ◽  
Independent Manner ◽  
Yang Mills ◽  
Loop Level ◽  
Lattice Regularization ◽  
The One ◽  
Noether Current ◽  
Super Yang Mills Theory

The gradient flow [1–5] gives rise to a versatile method to construct renor-malized composite operators in a regularization-independent manner. By adopting this method, the authors of Refs. [6–9] obtained the expression of Noether currents on the lattice in the cases where the associated symmetries are broken by lattice regularization. We apply the same method to the Noether current associated with supersymmetry, i.e., the supercurrent. We consider the 4D N = 1 super Yang–Mills theory and calculate the renormalized supercurrent in the one-loop level in the Wess–Zumino gauge. We then re-express this supercurrent in terms of the flowed gauge and flowed gaugino fields [10].

scholarly journals Phase structure of N=1 super Yang-Mills theory from the gradient flow

2019 ◽  
Author(s):  
Camilo Lopez ◽  
Georg Bergner ◽  
Stefano Piemonte
Keyword(s):  
Phase Structure ◽  
Gradient Flow ◽  
Yang Mills ◽  
Super Yang Mills Theory

scholarly journals NONCOMMUTATIVE U(1) SUPER-YANG–MILLS THEORY: PERTURBATIVE SELF-ENERGY CORRECTIONS

2004 ◽  
Vol 19 (25) ◽  
pp. 4231-4249 ◽  
Author(s):  
A. A. BICHL ◽  
M. ERTL ◽  
A. GERHOLD ◽  
J. M. GRIMSTRUP ◽  
L. POPP ◽  
...  
Keyword(s):  
Power Counting ◽  
The Self ◽  
Field Theories ◽  
Yang Mills ◽  
Self Energy ◽  
Supersymmetric Field Theories ◽  
Crucial Feature ◽  
The One ◽  
Infrared Divergences ◽  
Super Yang Mills Theory

The quantization of the noncommutative [Formula: see text], U(1) super-Yang–Mills action is performed in the superfield formalism. We calculate the one-loop corrections to the self-energy of the vector superfield. Although the power-counting theorem predicts quadratic ultraviolet and infrared divergences, there are actually only logarithmic UV and IR divergences, which is a crucial feature of noncommutative supersymmetric field theories.

scholarly journals The one-loop partition function of super-Yang–Mills theory on

2005 ◽  
Vol 711 (1-2) ◽  
pp. 199-230 ◽  
Author(s):  
Marcus Spradlin ◽  
Anastasia Volovich
Keyword(s):  
Partition Function ◽  
Yang Mills ◽  
The One ◽  
Super Yang Mills Theory

scholarly journals The BRS invariance of noncommutative Yang–Mills theory at the one-loop level

2001 ◽  
Vol 598 (1-2) ◽  
pp. 348-370 ◽  
Author(s):  
C.P. Martı́n ◽  
D. Sánchez-Ruiz
Keyword(s):  
Yang Mills ◽  
Loop Level ◽  
The One

SOME REMARKS CONCERNING THE FINITENESS OF N=4 SUPERSYMMETRIC YANG MILLS THEORIES

1988 ◽  
Vol 03 (01) ◽  
pp. 65-70 ◽  
Author(s):  
A. Bassetto ◽  
M. Dalbosco
Keyword(s):  
Light Cone ◽  
Green Functions ◽  
Loop Order ◽  
Light Cone Gauge ◽  
Yang Mills ◽  
Loop Level ◽  
Recent Treatment ◽  
The One

We carefully discuss the finiteness of SUSY YM N=4 in the light cone gauge, first at the one loop level by directly exhibiting the relevant terms of the lowest order Green functions and then at any loop order by using a recent treatment of the renormalization of general Yang-Mills theories in the light cone gauge. We point out the existence of a set of divergent Green functions which however do not contribute to observable quantities, thereby recovering consistency with formulations in other gauges.

ASYMPTOTIC BEHAVIOR OF PHYSICAL AMPLITUDES IN THE N=4 SUPER YANG-MILLS THEORY

1990 ◽  
Vol 05 (14) ◽  
pp. 2865-2884
Author(s):  
J.A. HELAYEL-NETO ◽  
A. WILLIAM SMITH ◽  
SUBHASH RAJPOOT
Keyword(s):  
Scattering Amplitude ◽  
High Energy ◽  
Energy Limit ◽  
Heavy Particles ◽  
Yang Mills ◽  
Physical Amplitude ◽  
Mass Terms ◽  
Scalar Scattering ◽  
The One ◽  
Super Yang Mills Theory

Using the N=4 super-Yang-Mills theory softly broken by supersymmetric N=1 mass terms for the matter superfields, we compute the one-loop chiral+chiral→antichiral+antichiral scattering amplitude directly in superspace. By suitable choices of the mass parameters, one can endow the model with a hierarchy of light and heavy particles, and the decoupling of the heavy sector from the light-light physical amplitude is studied. We also analyze the high-energy limit of the cross-section for a two physical scalar scattering and find a (logs) behavior, which then respects the Froissart bound.

OPERATOR REGULARIZATION AND THE DIVERGENCE OF THE SUPERCURRENT

1987 ◽  
Vol 02 (03) ◽  
pp. 785-796 ◽  
Author(s):  
D. G. C. McKEON ◽  
T. N. SHERRY
Keyword(s):  
Effective Action ◽  
Gauge Invariance ◽  
Green's Functions ◽  
Green’S Functions ◽  
Perturbative Expansion ◽  
Feynman Diagrams ◽  
Spinor Particle ◽  
Yang Mills ◽  
Loop Level ◽  
The One

Operator regularization is introduced as a procedure to compute Green's functions perturbatively. At the one-loop level the effective action is regularized by means of the ζ-function. A perturbative expansion due to Schwinger allows one to compute from the ζ-function one-loop one-particle irreducible Green's functions. By regulating in this way, we do not have to compute Feynman diagrams, we avoid having to introduce a regulating parameter into the initial Lagrangian and we do not encounter any divergent integrals. This procedure is illustrated for N = 1 super Yang-Mills theory in which the one-loop one-particle irreducible Green's function associated with the decay of the supercurrent into a vector and a spinor particle is treated. Gauge invariance is automatically maintained and the usual anomaly in the divergence of the super-current is recovered.

Sign in / Sign up

Export Citation Format

Share Document