Nicolai maps for super Yang–Mills on the light cone

Publikation: Beitrag in FachzeitschriftArtikelForschungPeer-Review

Forschungs-netzwerk anzeigen

Details

OriginalspracheEnglisch
Aufsatznummer138950
Seitenumfang7
FachzeitschriftPhysics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
Jahrgang856
Frühes Online-Datum8 Aug. 2024
PublikationsstatusVeröffentlicht - Sept. 2024

Abstract

We construct Nicolai maps for supersymmetric Yang–Mills theory in four and ten spacetime dimensions in the light-cone gauge, where the elimination of non-propagating degrees of freedom causes nonlocal and four-fermi interactions in the Lagrangian. The presence of the latter used to be an obstruction to the Nicolai map, which has recently been overcome at the price of quantum corrections to the map. No gauge-fixing or ghost terms arise in this formulation, since only physical transverse degrees of freedom occur. We present an explicit form of the Nicolai map to second order in the gauge coupling. In four dimensions, a ‘chiral’ choice of the map leaves one of the two transverse gauge-field modes invariant, which forces the classical part of the map (on the other mode) to become a polynomial (quadratic in the gauge coupling, cubic in the gauge field)! In the power series expansion for the ten-dimensional map however, cancellations at each order in the coupling are systematic but incomplete, still leaving an infinite power series for the Nicolai map (on all eight transverse modes). Nevertheless, the existence of a polynomial variant is conceivable, also for the maximal N=4 theory in four dimensions.

ASJC Scopus Sachgebiete

Zitieren

Nicolai maps for super Yang–Mills on the light cone. / Lechtenfeld, Olaf.
in: Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics, Jahrgang 856, 138950, 09.2024.

Publikation: Beitrag in FachzeitschriftArtikelForschungPeer-Review

Lechtenfeld O. Nicolai maps for super Yang–Mills on the light cone. Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics. 2024 Sep;856:138950. Epub 2024 Aug 8. doi: 10.48550/arXiv.2406.04406, 10.1016/j.physletb.2024.138950
Download
@article{2793249c08a14d2cb46400591f088c6d,
title = "Nicolai maps for super Yang–Mills on the light cone",
abstract = "We construct Nicolai maps for supersymmetric Yang–Mills theory in four and ten spacetime dimensions in the light-cone gauge, where the elimination of non-propagating degrees of freedom causes nonlocal and four-fermi interactions in the Lagrangian. The presence of the latter used to be an obstruction to the Nicolai map, which has recently been overcome at the price of quantum corrections to the map. No gauge-fixing or ghost terms arise in this formulation, since only physical transverse degrees of freedom occur. We present an explicit form of the Nicolai map to second order in the gauge coupling. In four dimensions, a {\textquoteleft}chiral{\textquoteright} choice of the map leaves one of the two transverse gauge-field modes invariant, which forces the classical part of the map (on the other mode) to become a polynomial (quadratic in the gauge coupling, cubic in the gauge field)! In the power series expansion for the ten-dimensional map however, cancellations at each order in the coupling are systematic but incomplete, still leaving an infinite power series for the Nicolai map (on all eight transverse modes). Nevertheless, the existence of a polynomial variant is conceivable, also for the maximal N=4 theory in four dimensions.",
author = "Olaf Lechtenfeld",
note = "Publisher Copyright: {\textcopyright} 2024 The Author(s)",
year = "2024",
month = sep,
doi = "10.48550/arXiv.2406.04406",
language = "English",
volume = "856",
journal = "Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics",
issn = "0370-2693",
publisher = "Elsevier",

}

Download

TY - JOUR

T1 - Nicolai maps for super Yang–Mills on the light cone

AU - Lechtenfeld, Olaf

N1 - Publisher Copyright: © 2024 The Author(s)

PY - 2024/9

Y1 - 2024/9

N2 - We construct Nicolai maps for supersymmetric Yang–Mills theory in four and ten spacetime dimensions in the light-cone gauge, where the elimination of non-propagating degrees of freedom causes nonlocal and four-fermi interactions in the Lagrangian. The presence of the latter used to be an obstruction to the Nicolai map, which has recently been overcome at the price of quantum corrections to the map. No gauge-fixing or ghost terms arise in this formulation, since only physical transverse degrees of freedom occur. We present an explicit form of the Nicolai map to second order in the gauge coupling. In four dimensions, a ‘chiral’ choice of the map leaves one of the two transverse gauge-field modes invariant, which forces the classical part of the map (on the other mode) to become a polynomial (quadratic in the gauge coupling, cubic in the gauge field)! In the power series expansion for the ten-dimensional map however, cancellations at each order in the coupling are systematic but incomplete, still leaving an infinite power series for the Nicolai map (on all eight transverse modes). Nevertheless, the existence of a polynomial variant is conceivable, also for the maximal N=4 theory in four dimensions.

AB - We construct Nicolai maps for supersymmetric Yang–Mills theory in four and ten spacetime dimensions in the light-cone gauge, where the elimination of non-propagating degrees of freedom causes nonlocal and four-fermi interactions in the Lagrangian. The presence of the latter used to be an obstruction to the Nicolai map, which has recently been overcome at the price of quantum corrections to the map. No gauge-fixing or ghost terms arise in this formulation, since only physical transverse degrees of freedom occur. We present an explicit form of the Nicolai map to second order in the gauge coupling. In four dimensions, a ‘chiral’ choice of the map leaves one of the two transverse gauge-field modes invariant, which forces the classical part of the map (on the other mode) to become a polynomial (quadratic in the gauge coupling, cubic in the gauge field)! In the power series expansion for the ten-dimensional map however, cancellations at each order in the coupling are systematic but incomplete, still leaving an infinite power series for the Nicolai map (on all eight transverse modes). Nevertheless, the existence of a polynomial variant is conceivable, also for the maximal N=4 theory in four dimensions.

UR - http://www.scopus.com/inward/record.url?scp=85200965080&partnerID=8YFLogxK

U2 - 10.48550/arXiv.2406.04406

DO - 10.48550/arXiv.2406.04406

M3 - Article

AN - SCOPUS:85200965080

VL - 856

JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

SN - 0370-2693

M1 - 138950

ER -

Von denselben Autoren