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QUANTUM ASPECTS OF THE HIGHER-DERIVATIVE LORENTZ-BREAKING EXTENSION OF QED

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2019
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PHYSICAL REVIEW D
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WE CONSIDER THE HIGHER-DERIVATIVE LORENTZ-BREAKING EXTENSION OF QED, WHERE THE NEW TERMS ARE THE MYERS-POSPELOV-LIKE ONES IN GAUGE AND SPINOR SECTORS, AND THE HIGHER?DERIVATIVE CARROLL-FIELD-JACKIW TERM. FOR THIS THEORY, WE STUDY ITS TREE-LEVEL DYNAMICS, DISCUSS THE DISPERSION RELATION, AND PRESENT ONE MORE SCHEME FOR ITS PERTURBATIVE GENERATION, INCLUDING THE FINITE-TEMPERATURE CASE. ALSO, WE DEVELOP A METHOD TO STUDY PERTURBATIVE UNITARITY BASED ON CONSISTENT ROTATION OF THE THEORY TO EUCLIDEAN SPACE. WE USE THIS METHOD TO VERIFY EXPLICITLY THAT FOR SPECIAL CHOICES OF THE LORENTZ-BREAKING VECTOR THE UNITARITY IS PRESERVED AT THE ONE-LOOP LEVEL, EVEN IN THE PRESENCE OF HIGHER TIME DERIVATIVES.
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