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Friday, 4 December, 2015
Erwin Bolthausen, Remco van der Hofstad, Gady Kozma

We show Green's function asymptotics for the two-point function of weakly self-avoiding walk in dimension bigger than 4, reproving a classic result by Brydges and Spencer in 1985. Our proof...

arXiv:1512.01481
Wednesday, 2 December, 2015
Alberto S. Cattaneo, Pavel Mnev, Konstantin Wernli

The goal of this note is to give a brief overview of the BV-BFV formalism developed by the first two authors and Reshetikhin in [arXiv:1201.0290], [arXiv:1507.01221] in order to perform...

arXiv:1512.00588
Tuesday, 1 December, 2015
Slava Rychkov, Lorenzo G. Vitale

The Fock-space Hamiltonian truncation method is developed further, paying particular attention to the treatment of the scalar field zero mode. This is applied to the two-dimensional Phi^4 theory...

arXiv:1512.00493
Monday, 30 November, 2015
Matthijs Hogervorst, Slava Rychkov, Balt C. van Rees

We consider the continuation of free and interacting scalar field theory to non-integer spacetime dimension d. We find that the correlation functions in these theories are necessarily...

arXiv:1512.00013
Monday, 30 November, 2015
Nathan Benjamin, Shamit Kachru, Christoph A. Keller, Natalie M. Paquette

It is of interest to find criteria on a 2d CFT which indicate that it gives rise to emergent gravity in a macroscopic 3d AdS space via holography. Symmetric orbifolds in the large N limit have...

arXiv:1512.00010
Tuesday, 24 November, 2015
Sergei Merkulov, Thomas Willwacher

We establish a new and surprisingly strong link between two previously unrelated theories: the theory of moduli spaces of curves Mg,n (which, according to Penner, is controlled by the...

arXiv:1511.07808
Wednesday, 18 November, 2015
Erwin Bolthausen, Wolfgang Koenig, Chiranjib Mukherjee

We consider mean-field interactions corresponding to Gibbs measures on interacting Brownian paths in three dimensions. The interaction is self-attractive and is given by a singular Coulomb...

arXiv:1511.05921
Tuesday, 17 November, 2015
Titus Lupu, Wendelin Werner

We make a few elementary observations that relate directly the items mentioned in the title. In particular, we note that when one superimposes the random current model related to the Ising model...

arXiv:1511.05524
Monday, 16 November, 2015
Lyle Noakes, Tudor S. Ratiu

Bi-Jacobi fields are generalized Jacobi fields, and are used to efficiently compute approximations to Riemannian cubic splines in a Riemannian manifold M. Calculating bi-Jacobi fields is...

Communications in Mathematical Sciences, Vol 14, No 1
Monday, 9 November, 2015
Yasuyuki Hatsuda, Marcos Marino

Inspired by recent connections between spectral theory and topological string theory, we propose exact quantization conditions for the relativistic Toda lattice of N particles. These conditions...

arXiv:1511.02860
Thursday, 5 November, 2015
David E. Kaplan, Riccardo Rattazzi

We present a renormalizable theory of scalars in which the low energy effective theory contains a pseudo-Goldstone Boson with a compact field space of 2{\pi} F and an approximate discrete shift...

arXiv:1511.01827
Wednesday, 28 October, 2015
Slava Rychkov, Pierre Yvernay

We show how to refine conformal block expansion convergence estimates from hep-th/1208.6449. In doing so we find a novel explicit formula for the 3d...

arXiv:1510.08486

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