Speaker
Description
In this work we calculate the time evolution of local gauge invariant field theoretical model, comprising
of a scalar field coupled to vector gauge field. Assuming a linear relationship between phase angles
α(x) at two closely separated space-time points x and x′ = x − δ, with 0 < δ < 1, we obtain an explicit
dependence of scalar field φ(x) at x and x′ in terms of Wilson-line variable. Using the modified value of
field φ(x′) we evaluate the effective coupling of this system in dimension d < 4 near the critical region.
In the mean-field approximation, we found that the scalar self coupling λ at Wilson-Fisher fixed point
of this system is modified as λ∗ = λW F /t4, where λW F = 16π2
3 (d − 4) and t is the time of evolution.
With this modified coupling we found that the density of active states for this system behave as Ω ∝ 1
t4 .
| Session | Heavy Ions and QCD |
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