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We propose an explicit formulation of the physical subspace for a(1+1)-dimensional SU(2) lattice gauge theory, where the gauge degrees offreedom are integrated out. Our formulation is completely general, and might bepotentially suited for the design of future quantum simulators. Additionally,it allows for addressing the theory numerically with matrix product states. Weapply this technique to explore the spectral properties of the model and theeffect of truncating the gauge degrees of freedom to a small finite dimension.In particular, we determine the scaling exponents for the vector mass.Furthermore, we also compute the entanglement entropy in the ground state andstudy its scaling towards the continuum limit.

Efficient Basis Formulation for (1+1)-Dimensional SU(2) Lattice Gauge Theory: Spectral calculations with matrix product states