SYM on the lattice
Non-perturbative predictions and numerical simulations in supersymmetric Yang-Mills (SYM) theories are reviewed.
hep-lat↗
arXiv subjects
I. Montvay
Publications and source records attributed to I. Montvay.
Quadratically optimized polynomials for fermion simulations
Quadratically optimized polynomials are described which are useful in multi-bosonic algorithms for Monte Carlo simulations of quantum field theories with fermions. Algorithms for the computation of the coefficients and roots of these polynomials are described and their implementation in the algebraic manipulation language Maple is discussed. Tests of the evaluation of polynomials on dynamical fermion configurations are performed. In a simple special case the obtained polynomial approximations are compared to Chebyshev polynomials.
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Numerical study of SU(2) Yang-Mills theory with gluinos
We report on a numerical investigation of the SU(2) gauge theory with gluinos. The low-lying spectrum in bosonic and fermionic channels is determined. Improvements of the multi-bosonic algorithm are discussed.
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SUSY on the lattice
The motivation and perspectives of numerical simulations of supersymmetric Yang-Mills theories are reviewed.
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A non-chiral extension of the standard model with mirror fermions
The difficulties of defining chiral gauge theories non-perturbatively suggest a vector-like extension of the standard model with three mirror fermion families. Some phenomenological implications of such an extension are discussed.
hep-ph↗
Leptoquarks and vector-like strong interactions at the TeV scale
In a vector-like extension of the minimal standard model with mirror fermions leptoquarks can be bound states of fermion-mirror-fermion pairs held together by a new strong interaction at the TeV scale. The small couplings of leptoquarks to light fermion pairs arise due to mixing. The large $Q^2$ event excess at HERA and also the high $E_T$ jet excess at Tevatron can potentially be explained.
hep-ph↗
The Higgs mechanism on the lattice
The lattice regularization of the Higgs sector of the standard model is summarized. The triviality bound and vacuum instability bound are described. The question of chiral gauge theories is discussed. Some aspects of the numerical simulations of the electroweak phase transition are considered.
hep-lat↗
Gluinos on the lattice: quenched calculations
As a preparation for the numerical study of the SU(2) gauge theory with gluinos, the spectral properties of the fermion matrix and the masses of pseudoscalar and scalar states are investigated in the quenched approximation. The behaviour of the disconnected fermion diagrams on small lattices is also studied.
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Electroweak phase transition by four dimensional simulations
The finite temperature phase transition in the SU(2)-Higgs model at a Higgs boson mass $M_H \simeq 35$ GeV is studied in numerical simulations on four dimensional lattices with time-like extensions up to $L_t=5$. $T_c/M_H$ is extrapolated to the continuum limit and a comparison with the perturbative prediction is made. A one-loop calculation to the coupling anisotropies of the SU(2)-Higgs model on lattices with asymmetric lattice spacings is presented. Our numerical simulations show that the above perturbative result is applicable in the phenomenologically interesting parameter region.
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Supersymmetric gauge theories on the lattice
The perspectives of numerical simulations in supersymmetric quantum field theories with vector-like gauge symmetries are discussed. A numerical simulation algorithm for SU(2) gauge theory with gluinos is studied and the first results on the glueball-gluinoball spectrum are presented.
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Numerical tests of the electroweak phase transition and thermodynamics of the electroweak plasma
The finite temperature phase transition in the SU(2) Higgs model at a Higgs boson mass $M_H \simeq 34$ GeV is studied in numerical simulations on four-dimensional lattices with time-like extensions up to $L_t=5$. The effects of the finite volume and finite lattice spacing on masses and couplings are studied in detail. The errors due to uncertainties in the critical hopping parameter are estimated. The thermodynamics of the electroweak plasma near the phase transition is investigated by determining the relation between energy density and pressure.
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An Algorithm for Gluinos on the Lattice
Lüscher's local bosonic algorithm for Monte Carlo simulations of quantum field theories with fermions is applied to the simulation of a possibly supersymmetric Yang-Mills theory with a Majorana fermion in the adjoint representation. Combined with a correction step in a two-step polynomial approximation scheme, the obtained algorithm seems to be promising and could be competitive with more conventional algorithms based on discretized classical (``molecular dynamics'') equations of motion. The application of the considered polynomial approximation scheme to optimized hopping parameter expansions is also discussed.
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Electroweak Phase Transition and Numerical Simulations in the SU(2) Higgs Model
Recent progress in non-perturbative investigations of the electroweak phase transition is reviewed, with special emphasis on numerical simulations in the four-dimen\-sional SU(2) Higgs model.
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Interpolated Lattice Gauge Fields and Chiral Fermions in the Schwinger Model
The effective action induced by fermions in the chiral Schwinger model with charges (3,4,5) is investigated. Pauli-Villars regularization is combined with momentum cut-off for the evaluation of the fermion determinants on continuum gauge fields interpolated between lattice points. The convergence and gauge variance are studied numerically on gauge configurations taken from quenched updating.
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TUNING TO $N=2$ SUPERSYMMETRY IN THE SU(2) ADJOINT HIGGS-YUKAWA MODEL
The $N=2$ supersymmetric continuum limit is investigated in the SU(2) adjoint Higgs-Yukawa model using lattice perturbation theory. In the one-loop renormalization group equations a non-trivial infrared fixed point of coupling ratios is found. The phase structure at weak couplings is determined by a numerical study of the one-loop effective potential.
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The electroweak phase transition: a non-perturbative lattice investigation
We present results obtained from a numerical investigation of the electroweak phase transition in the SU(2)-Higgs model. The simulations are performed at two values of the Higgs boson mass, $M_H\approx 20$ GeV and $M_H\approx 50$ GeV. While the phase transition is of strongly first order at the smaller value of the Higgs mass it weakens rapidly when the Higgs mass is increased. This is in qualitative agreement with perturbation theory as the comparison of various physical quantities shows.
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Embedding the N=2 Supersymmetric Yang-Mills Theory in the Adjoint Higgs-Yukawa Model on the Lattice
The N=2 supersymmetric Yang-Mills theory is formulated on the lattice. The feasibility of numerical simulations is discussed.
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Simulating the Electroweak Phase Transition in the SU(2) Higgs Model
Numerical simulations are performed to study the finite temperature phase transition in the SU(2) Higgs model on the lattice. In the presently investigated range of the Higgs boson mass, below 50 GeV, the phase transition turns out to be of first order and its strength is rapidly decreasing with increasing Higgs boson mass. In order to control the systematic errors, we also perform studies of scaling violations and of finite volume effects.
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