Exploration of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>S</mml:mi></mml:math>-Matrix Theory

Olive, David I.

doi:10.1103/physrev.135.b745

Cited by 122 publications

(50 citation statements)

References 17 publications

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“…Introducing center of mass and relative variables (11), similarly as it was done in section III, we obtain for the first term in (19):…”

Section: A 1-instanton Sectormentioning

confidence: 99%

Instanton modifications of the bound state singularity in the Schwinger model

Radożycki

2007

Phys. Rev. D

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We consider the quark-antiquark Green's function in the Schwinger Model with instanton contributions taken into account. Thanks to the fact that this function may analytically be found, we draw out singular terms, which arise due to the formation of the bound state in the theorythe massive Schwinger boson. The principal term has a pole character. The residue in this pole contains contributions from various instanton sectors: 0, ±1, ±2. It is shown, that the nonzero ones change the factorizability property. The formula for the residue is compared to the Bethe-Salpeter wave function found as a field amplitude. Next, it is demonstrated, that apart from polar part, there appears in the Green's function also the weak branch point singularity of the logarithmic and dilogarithmic nature. These results are not in variance with the universally adopted S-matrix factorization.

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“…Introducing center of mass and relative variables (11), similarly as it was done in section III, we obtain for the first term in (19):…”

Section: A 1-instanton Sectormentioning

confidence: 99%

Instanton modifications of the bound state singularity in the Schwinger model

Radożycki

2007

Phys. Rev. D

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“…It relies only on basic analytic properties of the tree-level amplitude: the single pole structure and the factorization property when a propagator reaches its massshell. Then using the familiar complex analysis the whole amplitude can be uniquely fixed if there are no boundary contributions 1 .…”

Section: Introductionmentioning

confidence: 99%

“…S-matrix program [1] is a program to study properties of quantum field theory based on some general principles, like the Lorentz invariance, Locality, Causality, Gauge symmetry as well as Analytic property. Because it does not use specific information like Lagrangian, result obtained by this method is quite general.…”

Section: Introductionmentioning

confidence: 99%

KLT and new relations for $ \mathcal{N} = 8 $ SUGRA and $ \mathcal{N} = 4 $ SYM

Feng

2010

J. High Energ. Phys.

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In this short note, we prove the supersymmetric Kawai-Lewellen-Tye (KLT) relations between N = 8 supergravity (SUGRA) and N = 4 super Yang-Mills (SYM) tree-level amplitudes in the frame of S-matrix program, especially we do not use string theory or the explicit Lagrangian form of corresponding theories. Our supersymmetric KLT relations naturally unify the non-supersymmetric KLT relations and newly discovered gauge theory identities and produce more identities for amplitudes involving scalars and fermions. We point out also that these newly discovered identities can be used to reduce helicity basis from (n − 3)! further down.

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“…However, there exist classes of gauge-theory NMHV amplitudes that can be straightforwardly constructed using inverse soft for any number of external legs. 1 We also present explicit examples of the procedure for six-point NMHV amplitudes in gauge theory and gravity. This paper is organized as follows.…”

Section: Jhep09(2011)130mentioning

confidence: 99%

“…In the last twenty years, we have seen a resurgence of interest in the S-matrix program of the 60's [1][2][3] whose goal was to define a quantum field theory through the analytic properties of its S-matrix. The unitarity [4,5] and generalized unitarity [6][7][8] methods dramatically simplified loop-level calculations.…”

Section: Introductionmentioning

confidence: 99%

Constructing amplitudes from their soft limits

Boucher-Veronneau

Larkoski

2011

J. High Energ. Phys.

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The existence of universal soft limits for gauge-theory and gravity amplitudes has been known for a long time. The properties of the soft limits have been exploited in numerous ways; in particular for relating an n-point amplitude to an (n−1)-point amplitude by removing a soft particle. Recently, a procedure called inverse soft was developed by which "soft" particles can be systematically added to an amplitude to construct a higherpoint amplitude for generic kinematics. We review this procedure and relate it to BrittoCachazo-Feng-Witten recursion. We show that all tree-level amplitudes in gauge theory and gravity up through seven points can be constructed in this way, as well as certain classes of NMHV gauge-theory amplitudes with any number of external legs. This provides us with a systematic procedure for constructing amplitudes solely from their soft limits.

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Exploration ofS-Matrix Theory

Cited by 122 publications

References 17 publications

Instanton modifications of the bound state singularity in the Schwinger model

Instanton modifications of the bound state singularity in the Schwinger model

KLT and new relations for $ \mathcal{N} = 8 $ SUGRA and $ \mathcal{N} = 4 $ SYM

Constructing amplitudes from their soft limits

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