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In this paper we present a proof for automatic O(a) improvement in twistedmass lattice QCD at maximal twist, which uses only the symmetries of theleading part in the Symanzik effective action. In the process of the proof weclarify that the twist angle is dynamically determined by vacuum expectationvalues in the Symanzik theory. For maximal twist according to this definition,we show that scaling violations of all quantities which have non-zero values inthe continuum limit are even in a. In addition, using Wilson ChiralPerturbation Theory (WChPT), we investigate this definition for maximal twistand compare it to other definitions which were already employed in actualsimulations.Comment: 36 pages, no figure

physical review. d. particles, fields, gravitation, and cosmology/physical review. d, particles, fields, gravitation, and cosmology

Automatic<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>O</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mi>a</mml:mi><mml:mo stretchy="false">)</mml:mo></mml:math>improvement for twisted mass QCD in the presence of spontaneous symmetry breaking

AutomaticO(a)improvement for twisted mass QCD in the presence of spontaneous symmetry breaking