18 research outputs found
Loop formulation of the supersymmetric nonlinear O(N) sigma model
We derive the fermion loop formulation for the supersymmetric nonlinear
O sigma model by performing a hopping expansion using Wilson fermions. In
this formulation the fermionic contribution to the partition function becomes a
sum over all possible closed non-oriented fermion loop configurations. The
interaction between the bosonic and fermionic degrees of freedom is encoded in
the constraints arising from the supersymmetry and induces flavour changing
fermion loops. For this leads to fermion loops which are no longer
self-avoiding and hence to a potential sign problem. Since we use Wilson
fermions the bare mass needs to be tuned to the chiral point. For we
determine the critical point and present boson and fermion masses in the
critical regime.Comment: 7 pages, 4 figures, presented at the 31st International Symposium on
Lattice Field Theory (Lattice 2013), 29 July - 3 August 2013, Mainz, German
Loop formulation of supersymmetric Yang-Mills quantum mechanics
We derive the fermion loop formulation of N=4 supersymmetric SU(N) Yang-Mills
quantum mechanics on the lattice. The loop formulation naturally separates the
contributions to the partition function into its bosonic and fermionic parts
with fixed fermion number and provides a way to control potential fermion sign
problems arising in numerical simulations of the theory. Furthermore, we
present a reduced fermion matrix determinant which allows the projection into
the canonical sectors of the theory and hence constitutes an alternative
approach to simulate the theory on the lattice.Comment: 20 pages, 3 figure
Supersymmetry breaking on the lattice: the N=1 Wess-Zumino model
We discuss spontaneous supersymmetry breaking in the N=1 Wess-Zumino model in
two dimensions on the lattice using Wilson fermions and the fermion loop
formulation. In that formulation the fermion sign problem related to the
vanishing of the Witten index can be circumvented and the model can be
simulated very efficiently using the recently introduced open fermion string
algorithm. We present first results for the supersymmetry breaking phase
transition and sketch the preliminary determination of a renormalised critical
coupling in the continuum limit.Comment: 7 pages, 4 figures, proceedings of the XXIX International Symposium
on Lattice Field Theory - Lattice 2011, July 10-16, 2011, Squaw Valley, Lake
Tahoe, Californi
Spontaneous supersymmetry breaking in the 2d N=1 Wess-Zumino model
We study the phase diagram of the two-dimensional N=1 Wess-Zumino model using
Wilson fermions and the fermion loop formulation. We give a complete
non-perturbative determination of the ground state structure in the continuum
and infinite volume limit. We also present a determination of the particle
spectrum in the supersymmetric phase, in the supersymmetry broken phase and
across the supersymmetry breaking phase transition. In the supersymmetry broken
phase we observe the emergence of the Goldstino particle.Comment: 7 pages, 5 figure
The Influence of Manga on the Graphic Novel
This material has been published in The Cambridge History of the Graphic Novel edited by Jan Baetens, Hugo Frey, Stephen E. Tabachnick. This version is free to view and download for personal use only. Not for re-distribution, re-sale or use in derivative works. © Cambridge University PressProviding a range of cogent examples, this chapter describes the influences of the Manga genre of comics strip on the Graphic Novel genre, over the last 35 years, considering the functions of domestication, foreignisation and transmedia on readers, markets and forms
Spontaneous supersymmetry breaking in the 2D N=1 Wess-Zumino Model
We study the phase diagram of the two-dimensional N=1 Wess-Zumino model on the lattice using Wilson fermions and the fermion loop formulation. We give a complete nonperturbative determination of the ground state structure in the continuum and infinite volume limit. We also present a determination of the particle spectrum in the supersymmetric phase, in the supersymmetry broken phase and across the supersymmetry breaking phase transition. In the supersymmetry broken phase, we observe the emergence of the Goldstino particle