36 citations · 337 across the 59 of their papers we have counts for
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Quantum Mechanics à la Langevin and Supersymmetry
S. Nicolis
We study quantum mechanics in the stochastic formulation, using the functional integral approach. The noise term enters the classical action as a local contribution of anticommutin…
Unconstrained Variables and Equivalence Relations for Lattice Gauge Theories
Stam Nicolis
We write the partition function for a lattice gauge theory, with compact gauge group, exactly in terms of unconstrained variables and show that, in the mean field approximation, th…
Second Order Phase Transition in Anisotropic Lattice Gauge Theories with Extra Dimensions
Stam Nicolis
Field theories with extra dimensions live in a limbo. While their classical solutions have been the subject of considerable study, their quantum aspects are difficult to control. A…
Anomaly cancellation for anisotropic lattice fields with extra dimensions
Stam Nicolis
The current flow from the bulk is due to the anomaly on the brane-but the absence of current flow is not, necessarily, due to anomaly cancellation, but to the absence of the chiral…
Layered Phase Investigations
S. Nicolis
The extra dimensional defects that are introduced to generate the lattice chiral zero modes are not simply a computational trick, but have interesting physical consequences. After…
Unitary Evolution on a Discrete Phase Space
E. G. Floratos, S. Nicolis
We construct unitary evolution operators on a phase space with power of two discretization. These operators realize the metaplectic representation of the modular group SL(2,Z_{2^n}…
Non-commutative Solitons in Finite Quantum Mechanics
E. G. Floratos, S. Nicolis
We construct the unitary evolution operators that realize the quantization of linear maps of SL(2,R) over phase spaces of arbitrary integer discretization N and show the non-trivia…
Multi-Layer Structure in the Strongly Five Dimensional Abelian Higgs Model
P. Dimopoulos, K. Farakos, S. Nicolis
We explore the phase diagram of the 5--D anisotropic Abelian Higgs model by Monte Carlo simulations. In particular, we study the transition between the confining phase and the four…
Branes in the 5D Abelian Higgs Model
P. Dimopoulos, K. Farakos, C. P. Korthals-Altes +2
We find 3-brane Higgs and Coulomb phases in the 5D Abelian Higgs Model and determine the transition surfaces that separate them from the usual bulk phases.
Multi--Layer Structure in the Strongly Coupled 5D Abelian Higgs Model
P. Dimopoulos, K. Farakos, S. Nicolis
We explore the phase diagram of the five-dimensional anisotropic Abelian Higgs model by Monte Carlo simulations. In particular, we study the transition between the confining phase…
Chiral Defect Fermions and the Layered Phase
C. P. Korthals-Altes, S. Nicolis, J. Prades
Chiral defect fermions on the lattice in 4+1 dimensions are analyzed using mean field theory. The fermion propagator has a localized chiral mode in weak coupling but loses it when…