Publications for year 2015

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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
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
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
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
Wednesday, 14 October, 2015
Enea Di Dio, Ruth Durrer, Giovanni Marozzi, Francesco Montanari

Starting from the relativistic galaxy number counts to second order in cosmological perturbation theory which we have determined in a previous paper, we discuss the dominant terms on sub-Hubble...

arXiv:1510.04202
Sunday, 11 October, 2015
Rinat Kashaev

Starting from a quantum dilogarithm over a Pontryagin self-dual LCA group A, we construct an operator solution of the Yang-Baxter equation generalizing the solution of the Faddeev-Volkov model....

arXiv:1510.03043

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