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....so the "-1/12" result has units of energy? (ie eV or J)
The ground state energy, ie n=0, is not equal to zero (1/2hώ) and yet the summation in the Polchinski reference is from n=1 to infinity. Is the ground state energy omitted?
The quantum energy states are distinctly separated by an equal energy level equalling hώ, which is a small number, but nevertheless a finite number. So what happens when you sum an infinite number of finite numbers that increase by the same amount?
The negative sign as well as the 1/12 result needs to be physically explained. What exactly does it represent?
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