The energy-momentum tensor for lattice gauge theories

Non-perturbative renormalization in lattice field theory

“…The same idea has been put foward in the case of supersymmetry by Curci and Veneziano [37], and first numerical and perturbative results along these lines have been presented at this conference [38,39]. A similar treatment of the O(4) Euclidean space-time symmetry appears difficult in practice, as it requires the construction of the energy momentum tensor, which is a nontrivial problem in itself [40]. I will focus on the more familiar problem of explicit chiral symmetry breaking and its consequences.…”

“…An exception is the PCAC relation, which leads to an alternative definition of a renormalized O(a) improved quark mass (40). Requiring equality of the two mass definitions then determines the combination…”

Energy-momentum tensor on the lattice: recent developments

“…[2,3]. The strategy is quite analogous to the one for the chiral symmetry on the lattice studied in Ref.…”

“…The variation of these terms, however, is BRS exact and can be neglected in correlation functions of gauge invariant operators. 2 With the dimensional regularization, T µν will be finite even without such a subtraction; here we define the renormalized EMT by subtracting VEV to make expressions be consistent also with the lattice regularization. 3 It is interesting to note that a computation of the trace anomaly of the Wilson fermion in a pioneering work [5] yielded −15 times the conventional trace anomaly.…”

Thermal field theories and shifted boundary conditions

“…In SU(N) Yang-Mills theory, they both renormalize multiplicatively. The WIs can be enforced on the lattice to compute the overall renormalization constant Z T of the multiplet, and the relative normalization z T between the off-diagonal and the diagonal components [7],…”