Simple recursion relations for general field theories

We have calculated the high spin parton splitting amplitudes postulating the Yangian symmetry of the scattering amplitudes for tensor gluons. The resulting splitting amplitudes coincide with the earlier calculations, which were based on the BCFW recursion relations. The resulting formula unifies all known splitting probabilities found earlier in gauge field theories. It describes splitting probabilities for integer and half-integer spin particles. We also checked that the splitting probabilities fulfil the generalised Kounnas–Ross [Formula: see text] = 1 supersymmetry relations hinting to the fact that the underlying theory can be formulated in an explicit supersymmetric manner.

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Applications

10.1093/oso/9780198788393.003.0013 ◽

2017 ◽

Author(s):

Laurent Baulieu ◽

John Iliopoulos ◽

Roland Sénéor

Keyword(s):

Phase Space ◽

Cross Sections ◽

Scattering Amplitude ◽

Field Theories ◽

Tree Approximation ◽

General Field ◽

Feynman Rules

Physical applications. Introduction of the scattering amplitude and cross sections. The phase space integrals. Explicit calculations of QED processes in the tree approximation. Derivation of the Feynman rules for general field theories.

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TOPOLOGICAL FIELD THEORIES AND THE PERIOD INTEGRALS

Modern Physics Letters A ◽

10.1142/s0217732393001379 ◽

1993 ◽

Vol 08 (17) ◽

pp. 1627-1637 ◽

Cited By ~ 21

Author(s):

TOHRU EGUCHI ◽

YASUHIKO YAMADA ◽

SUNG-KIL YANG

Keyword(s):

Correlation Functions ◽

Field Theories ◽

Two Dimensional ◽

Minimal Models ◽

Recursion Relations ◽

Dimensional Gravity ◽

Topological Field ◽

Topological Gravity ◽

The One ◽

Topological Theories

We discuss topological Landau-Ginzburg theories coupled to two-dimensional topological gravity. We point out that the basic recursion relations for correlation functions of the two-dimensional gravity have exactly the same form as the Gauss-Manin differential equations for the period integrals of superpotentials. Thus the one-point functions on the sphere of the Landau-Ginzburg theories are given exactly by the period integrals. We discuss various examples, A-D-E minimal models and the c=3 topological theories.

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On-shell recursion relations for nonrelativistic effective field theories

Physics Letters B ◽

10.1016/j.physletb.2021.136705 ◽

2021 ◽

Vol 822 ◽

pp. 136705

Author(s):

Martin A. Mojahed ◽

Tomáš Brauner

Keyword(s):

Effective Field Theories ◽

Effective Field ◽

Field Theories ◽

Recursion Relations

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Recursion relations for 5-point conformal blocks

Journal of High Energy Physics ◽

10.1007/jhep10(2021)160 ◽

2021 ◽

Vol 2021 (10) ◽

Author(s):

David Poland ◽

Valentina Prilepina

Keyword(s):

Linear Combination ◽

Energy Operator ◽

Field Theories ◽

Conformal Field Theories ◽

Point Function ◽

Conformal Blocks ◽

Recursion Relations ◽

Expectation Value ◽

Conformal Field ◽

Weight Shifting

Abstract We consider 5-point functions in conformal field theories in d > 2 dimensions. Using weight-shifting operators, we derive recursion relations which allow for the computation of arbitrary conformal blocks appearing in 5-point functions of scalar operators, reducing them to a linear combination of blocks with scalars exchanged. We additionally derive recursion relations for the conformal blocks which appear when one of the external operators in the 5-point function has spin 1 or 2. Our results allow us to formulate positivity constraints using 5-point functions which describe the expectation value of the energy operator in bilocal states created by two scalars.

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Chromospheric activity as a function of age in main-sequence stars

Symposium - International Astronomical Union ◽

10.1017/s0074180900053146 ◽

1966 ◽

Vol 24 ◽

pp. 40-43

Author(s):

O. C. Wilson ◽

A. Skumanich

Keyword(s):

Main Sequence ◽

The Sun ◽

Main Sequence Stars ◽

Tentative Conclusion ◽

Chromospheric Activity ◽

General Field ◽

Large Clusters

Evidence previously presented by one of the authors (1) suggests strongly that chromospheric activity decreases with age in main sequence stars. This tentative conclusion rests principally upon a comparison of the members of large clusters (Hyades, Praesepe, Pleiades) with non-cluster objects in the general field, including the Sun. It is at least conceivable, however, that cluster and non-cluster stars might differ in some fundamental fashion which could influence the degree of chromospheric activity, and that the observed differences in chromospheric activity would then be attributable to the circumstances of stellar origin rather than to age.

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