Reducing finite-size effects in quantum field theories with the renormalization group

We establish a real-space renormalization group approach for lattice field theories that partially overcomes finite-size effects and therefore provides accurate infinite-volume limit calculations on systems with moderately small lattice sizes. The method, which relies on the construction of renormalization group mappings between two systems of identical lattice size, is utilized to extract critical exponents and to explicitly determine the renormalized coupling parameters of the two-dimensional $\phi^{4}$ scalar field theory. We conclude by discussing how renormalization group methods, which are capable of providing accurate results on small lattice sizes by reducing systematic errors pertinent to finite-size effects, can be viewed as an alternative approach to evade the implications of the critical slowing down effect.