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math-ph2013★ 43 cited

Bethe Ansatz for Yangian Invariants: Towards Super Yang-Mills Scattering Amplitudes

Rouven Frassek, Nils Kanning, Yumi Ko +1

We propose that Baxter's Z-invariant six-vertex model at the rational gl(2) point on a planar but in general not rectangular lattice provides a way to study Yangian invariants. The…

math-ph2013★ 6 cited

Coherent states, 6j symbols and properties of the next to leading order asymptotic expansions

Wojciech Kaminski, Sebastian Steinhaus

We present the first complete derivation of the well-known asymptotic expansion of the SU(2) 6j symbol using a coherent state approach, in particular we succeed in computing the de…

math-ph2013★ 146 cited

Melons are branched polymers

Razvan Gurau, James P. Ryan

Melonic graphs constitute the family of graphs arising at leading order in the 1/N expansion of tensor models. They were shown to lead to a continuum phase, reminiscent of branched…

math-ph2013★ 65 cited

Quantization maps, algebra representation and non-commutative Fourier transform for Lie groups

Carlos Guedes, Daniele Oriti, Matti Raasakka

The phase space given by the cotangent bundle of a Lie group appears in the context of several models for physical systems. A representation for the quantum system in terms of non-…

math-ph2013★ 9 cited

Solutions of the Klein-Gordon equation in an infinite square-well potential with a moving wall

Michael Koehn

Employing a transformation to hyperbolic space, we derive in a simple way exact solutions for the Klein-Gordon equation in an infinite square-well potential with one boundary movin…