Skip to main content

Lund University Publications

LUND UNIVERSITY LIBRARIES

Introducing the chirality-flow formalism

Lifson, Andrew LU ; Reuschle, Christian LU orcid and Sjödahl, Malin LU (2020) In Acta Physica Polonica B 51(6). p.1547-1557
Abstract

In QCD, we are used to describing the SU(3) color space in terms of a flow of color. At the algebra level, the Lorentz group consists of two copies of the (complexified) su(2) algebra, so one may anticipate that a similar way of thinking about the spacetime structure of scattering amplitudes should exist. In this article, we argue that this is indeed the case, and introduce the chirality-flow formalism for massless tree-level QED and QCD. Within the chirality-flow formalism, scattering amplitudes can directly be written down in terms of Lorentz-invariant spinor inner products, similar to how the color structure can be described in terms of a color flow.

Please use this url to cite or link to this publication:
author
; and
organization
publishing date
type
Contribution to journal
publication status
published
subject
in
Acta Physica Polonica B
volume
51
issue
6
pages
11 pages
publisher
Jagiellonian University, Cracow, Poland
external identifiers
  • scopus:85090389948
ISSN
0587-4254
DOI
10.5506/APHYSPOLB.51.1547
language
English
LU publication?
yes
id
6f0639ef-9012-4d2a-ba9f-125c835a97ea
date added to LUP
2020-10-26 10:41:53
date last changed
2024-04-03 14:45:57
@article{6f0639ef-9012-4d2a-ba9f-125c835a97ea,
  abstract     = {{<p>In QCD, we are used to describing the SU(3) color space in terms of a flow of color. At the algebra level, the Lorentz group consists of two copies of the (complexified) su(2) algebra, so one may anticipate that a similar way of thinking about the spacetime structure of scattering amplitudes should exist. In this article, we argue that this is indeed the case, and introduce the chirality-flow formalism for massless tree-level QED and QCD. Within the chirality-flow formalism, scattering amplitudes can directly be written down in terms of Lorentz-invariant spinor inner products, similar to how the color structure can be described in terms of a color flow.</p>}},
  author       = {{Lifson, Andrew and Reuschle, Christian and Sjödahl, Malin}},
  issn         = {{0587-4254}},
  language     = {{eng}},
  number       = {{6}},
  pages        = {{1547--1557}},
  publisher    = {{Jagiellonian University, Cracow, Poland}},
  series       = {{Acta Physica Polonica B}},
  title        = {{Introducing the chirality-flow formalism}},
  url          = {{http://dx.doi.org/10.5506/APHYSPOLB.51.1547}},
  doi          = {{10.5506/APHYSPOLB.51.1547}},
  volume       = {{51}},
  year         = {{2020}},
}