zetaregularization
Zeta regularization is a technique used in theoretical physics and mathematics to handle divergent sums and integrals. It was introduced by Edward Witten in 1982 as a way to regularize and renormalize quantum field theories. The method involves analytically continuing the Riemann zeta function to non-integer values, which allows for the summation of divergent series.
The Riemann zeta function, denoted by ζ(s), is defined for complex numbers s with a real part
In zeta regularization, the divergent sum is replaced by an expression involving the zeta function evaluated
Zeta regularization has been applied to various areas of physics, including string theory, quantum gravity, and