Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1995-10-10
Phys.Lett. B365 (1996) 252-258
Physics
High Energy Physics
High Energy Physics - Theory
13 pages, one figure, written in Revtex 3.0, one figure available upon request to baruch@phys.nthu.edu.tw
Scientific paper
10.1016/0370-2693(95)01306-7
Motivated by the weak-strong coupling expansion \cite{Rosenstein}, we calculate the spectrum of hadrons using a systematic $1/d$ ($d$ - dimensionality of spacetime) in addition to a strong coupling expansion in $\beta$. The $1/d$ expansion is pushed to the next to leading order in ($1/d$) for mesons and next to next to leading order for baryons. We do the calculation using Wilson fermions with arbitrary $r$ and show that doublers decouple from the spectrum only when $r$ is close to the Wilson's value $r=1$. For these $r$ the spectrum is much closer to the lattice results and the phenomenological values than those obtained by using either the (nonsystematic) "randomwalk" approximation or the hopping parameter expansion. In particular, the value of the nucleon to $\rho$ - meson mass ratio is lowered to $\frac {3 \log d -1/4}{2 {\rm arccosh} 2}+O(1/d)\approx 1.48$. The result holds even for $\beta$ as large as 5, where the weak-strong coupling expansion is applicable and therefore these results are expected to be reasonable.
Rosenstein Baruch
Speliotopoulos Achilles D.
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