On single and double soft behaviors in NLSM

Du, Yi-Jian; Luo, Hui

doi:10.1007/jhep08(2015)058

Cited by 29 publications

(36 citation statements)

References 56 publications

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“…In the case of NLSM-type theories also the double-soft behavior has been studied [6,[22][23][24][25][26]. In particular, it has been shown that the amplitude for the emission 1 As discussed in ref.…”

Section: Jhep09(2017)001mentioning

confidence: 99%

Double-soft behavior of the dilaton of spontaneously broken conformal invariance

Vecchia

Marotta

Mojaza

2017

J. High Energ. Phys.

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The Ward identities involving the currents associated to the spontaneously broken scale and special conformal transformations are derived and used to determine, through linear order in the two soft-dilaton momenta, the double-soft behavior of scattering amplitudes involving two soft dilatons and any number of other particles. It turns out that the double-soft behavior is equivalent to performing two single-soft limits one after the other. We confirm the new double-soft theorem perturbatively at tree-level in a D-dimensional conformal field theory model, as well as nonperturbatively by using the "gravity dual" of N = 4 super Yang-Mills on the Coulomb branch; i.e. the Dirac-BornInfeld action on AdS 5 × S 5 .

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Section: Jhep09(2017)001mentioning

confidence: 99%

Double-soft behavior of the dilaton of spontaneously broken conformal invariance

Vecchia

Marotta

Mojaza

2017

J. High Energ. Phys.

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“…A complete classification of all possible soft theorems at various orders of the soft expansion has not appeared, although some discussion of it exists [79,80]. New soft theorems at various orders have recently been discovered in nonabelian gauge theories [20,77,81,82], supersymmetric theories [83][84][85], nonlinear sigma models [86], string theories [76,[87][88][89][90][91][92][93], and in other contexts [94][95][96][97][98]. Interesting universal structures are known for limits when two or more external particles are taken to be soft.…”

Section: Echoing Trianglesmentioning

confidence: 99%

Lectures on the Infrared Structure of Gravity and Gauge Theory

Strominger¹

2018

242

451

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This is a redacted transcript of a course given by the author at Harvard in spring semester 2016. It contains a pedagogical overview of recent developments connecting the subjects of soft theorems, the memory effect and asymptotic symmetries in fourdimensional QED, nonabelian gauge theory and gravity with applications to black holes. The lectures may be viewed online at https://goo.gl/3DJdOr. Please send typos or corrections to strominger@physics.harvard.edu. S 2 * F = Σ * j ∈ Z .(2.1.5)

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“…. , 2n) where the first soft pion is adjacent to the off-shell leg (see [7] for discussion about l = 1, i = 0).…”

Section: Berends-giele Recursion Approachmentioning

confidence: 99%

Leading order multi-soft behaviors of tree amplitudes in NLSM

Luo

2017

J. High Energ. Phys.

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In this paper, we investigate multi-soft behaviors of tree amplitudes in nonlinear sigma model (NLSM). The leading behaviors of amplitudes with odd number of all-adjacent soft pions are zero. We further propose and prove that leading soft factors of amplitudes with even number all-adjacent soft pions can be expressed in terms of products of the leading order Berends-Giele sub-currents in Cayley parametrization. Each subcurrent in the expression contains at most one hard pion. Discussions are generalized to amplitudes containing arbitrary number of nonadjacent soft blocks: the leading behaviors of amplitudes where at least one soft block has odd number of adjacent soft pions are zero; the leading soft factors for amplitudes where all soft blocks containing even number of soft pions are given by products of soft factors for these blocks.

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On single and double soft behaviors in NLSM

Cited by 29 publications

References 56 publications

Double-soft behavior of the dilaton of spontaneously broken conformal invariance

Double-soft behavior of the dilaton of spontaneously broken conformal invariance

Lectures on the Infrared Structure of Gravity and Gauge Theory

Leading order multi-soft behaviors of tree amplitudes in NLSM

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