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Introducing the chirality-flow formalism

Lifson, Andrew LU ; Reuschle, Christian LU 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.

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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
Jagellonian 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
2020-10-27 02:38:15
@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    = {Jagellonian 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},
}