Perturbative and nonperturbative studies with the delta function potential
نویسندگان
چکیده
منابع مشابه
Delta-Function Potential with a Complex Coupling
We explore the Hamiltonian operator H = − d2 dx2 + z δ(x) where x ∈ R, δ(x) is the Dirac delta function, and z is an arbitrary complex coupling constant. For a purely imaginary z, H has a spectral singularity at E = −z2/4 ∈ R+. For R(z) < 0, H has an eigenvalue at E = −z2/4. For the case that R(z) > 0, H has a real, positive, continuous spectrum that is free from spectral singularities. For thi...
متن کاملDelta-Function Potential with Complex Coupling
We explore the Hamiltonian operator H = − d2 dx2 + z δ(x) where x ∈ R, δ(x) is the Dirac delta function, and z is an arbitrary complex coupling constant. For a purely imaginary z, H has a spectral singularity at E = −z2/4 ∈ R+. For R(z) < 0, H has an eigenvalue at E = −z2/4. For the case that R(z) > 0, H has a real, positive, continuous spectrum that is free from spectral singularities. For thi...
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Lattice-based investigations of two fundamental QCD quantities are described, namely the gluon and quark propagators in Landau gauge. We have studied the Landau gauge gluon propagator using a variety of lattices with spacings from a = 0.17 to 0.41 fm to explore finite volume and discretization effects. We also introduce the general method of “tree-level correction” to minimize the effect of lat...
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ژورنال
عنوان ژورنال: American Journal of Physics
سال: 2008
ISSN: 0002-9505,1943-2909
DOI: 10.1119/1.2830531