MHV amplitudes at strong coupling and linearized TBA equations

DOI DOI HANDLE PDF Web Site 28 References Open Access

Description

<jats:title>A<jats:sc>bstract</jats:sc></jats:title><jats:p>The maximally helicity violating (MHV) amplitudes of<jats:inline-formula><jats:alternatives><jats:tex-math>$$ \mathcal{N}=4 $$</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi>N</mml:mi><mml:mo>=</mml:mo><mml:mn>4</mml:mn></mml:math></jats:alternatives></jats:inline-formula>super Yang-Mills theory at strong coupling are obtained by solving auxiliary thermodynamic Bethe ansatz (TBA) integral equations. We consider a limit where the TBA equations are linearized for large chemical potentials and masses therein. By solving the linearized equations, we derive analytic expansions of the 6-point MHV amplitudes in terms of the ratio of the chemical potential<jats:italic>A</jats:italic>and the mass<jats:italic>M</jats:italic>. The expansions are valid up to corrections exponentially small in<jats:italic>A</jats:italic>or inversely proportional to powers of<jats:italic>A</jats:italic>. The analytic expansions describe the amplitudes for small conformal cross-ratios of the particle momenta in a standard basis, and interpolate the amplitudes with equal cross-ratios and those in soft/collinear limits. The leading power corrections are also obtained analytically. We compare the 6-point rescaled remainder functions at strong coupling and at 2 loops for the above kinematics. They are rather different, in contrast to other kinematic regions discussed in the literature where they are found to be similar to each other.</jats:p>

Journal

References(28)*help

See more

Related Projects

See more

Keywords

Details 詳細情報について

Report a problem

Back to top