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On the kinematic al...
On the kinematic algebra for BCJ numerators beyond the MHV sector
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- Chen, Gang (författare)
- Uppsala universitet,Teoretisk fysik,Zhejiang Normal Univ, Dept Phys, Jinhua, Zhejiang, Peoples R China;Queen Mary Univ London, Sch Phys & Astron, Ctr Res String Theory, Mile End Rd, London E1 4NS, England
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- Johansson, Henrik (författare)
- Uppsala universitet,Stockholms universitet,KTH,Nordic Institute for Theoretical Physics NORDITA,Uppsala Univ, Dept Phys & Astron, Uppsala, Sweden.;Stockholm Univ, Roslagstullsbacken 23, S-10691 Stockholm, Sweden.,Nordiska institutet för teoretisk fysik (Nordita),Uppsala University, Sweden,Teoretisk fysik,Stockholm Univ, NORDITA, Roslagstullsbacken 23, S-10691 Stockholm, Sweden;KTH Royal Inst Technol, Roslagstullsbacken 23, S-10691 Stockholm, Sweden
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- Teng, Fei (författare)
- Uppsala universitet,Teoretisk fysik
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- Wang, Tianheng (författare)
- Uppsala universitet,Teoretisk fysik,Nanjing Univ, Dept Phys, Nanjing, Jiangsu, Peoples R China;Humboldt Univ, Inst Phys, Zum Grossen Windkanal 6, D-12489 Berlin, Germany;Humboldt Univ, IRIS Adlershof, Zum Grossen Windkanal 6, D-12489 Berlin, Germany
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- Springer, 2019
- 2019
- Engelska.
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Ingår i: Journal of High Energy Physics (JHEP). - : Springer. - 1126-6708 .- 1029-8479. ; :11
- Relaterad länk:
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Abstract
Ämnesord
Stäng
- The duality between color and kinematics present in scattering amplitudes of Yang-Mills theory strongly suggests the existence of a hidden kinematic Lie algebra that controls the gauge theory. While associated BCJ numerators are known on closed forms to any multiplicity at tree level, the kinematic algebra has only been partially explored for the simplest of four-dimensional amplitudes: up to the MHV sector. In this paper we introduce a framework that allows us to characterize the algebra beyond the MHV sector. This allows us to both constrain some of the ambiguities of the kinematic algebra, and better control the generalized gauge freedom that is associated with the BCJ numerators. Specifically, in this paper, we work in dimension-agnostic notation and determine the kinematic algebra valid up to certain ? ((epsilon i .epsilon j )(2)) terms that in four dimensions compute the next-to-MHV sector involving two scalars. The kinematic algebra in this sector is simple, given that we introduce tensor currents that generalize standard Yang-Mills vector currents. These tensor currents control the generalized gauge freedom, allowing us to generate multiple different versions of BCJ numerators from the same kinematic algebra. The framework should generalize to other sectors in Yang-Mills theory.
Ämnesord
- NATURVETENSKAP -- Fysik (hsv//swe)
- NATURAL SCIENCES -- Physical Sciences (hsv//eng)
- NATURVETENSKAP -- Matematik -- Algebra och logik (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Algebra and Logic (hsv//eng)
- NATURVETENSKAP -- Fysik -- Subatomär fysik (hsv//swe)
- NATURAL SCIENCES -- Physical Sciences -- Subatomic Physics (hsv//eng)
Nyckelord
- Scattering Amplitudes
- Gauge Symmetry
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