Higher-derivative boson field theories and constrained second-order theories
نویسندگان
چکیده
منابع مشابه
Higher-Derivative Massive Fermion Theories
We propose and canonically quantize a generalization of the two-dimensional massive fermion theory described by a Lagrangian containing third-order derivatives. In our approach the mass term contains a derivative coupling. The quantum solution is expressed in terms of three usual fermions. Employing the standard bosonization scheme, the equivalent boson theory is derived. The results obtained a...
متن کاملHigher-order theories
We extend our approach to abstract syntax (with binding constructions) through modules and linearity. First we give a new general definition of arity, yielding the companion notion of signature. Then we obtain a modularity result as requested by [GU03]: in our setting, merging two extensions of syntax corresponds to building an amalgamated sum. Finally we define a natural notion of equation con...
متن کاملSecond-order algebraic theories
Fiore and Hur [10] recently introduced a conservative extension of universal algebra and equational logic from first to second order. Second-order universal algebra and second-order equational logic respectively provide a model theory and a formal deductive system for languages with variable binding and parameterised metavariables. This work completes the foundations of the subject from the vie...
متن کاملComments on Higher Derivative Operators in Some SUSY Field Theories
We study the leading irrelevant operators along the flat directions of certain supersymmetric theories. In particular, we focus on finite N = 2 (including N = 4) supersymmetric field theories in four dimensions and show that these operators are completely determined by the symmetries of the problem. This shows that they are generated only at one loop and are not renormalized beyond this order. ...
متن کاملUnitary Issues in Some Higher Derivative Field Theories
We analyze the unitarity properties of higher derivative quantum field theories which are free of ghosts and ultraviolet singularities. We point out that in spite of the absence of ghosts most of these theories are not unitary. This result confirms the difficulties of finding a consistent quantum field theory of quantum gravity.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Physics A: Mathematical and General
سال: 2001
ISSN: 0305-4470,1361-6447
DOI: 10.1088/0305-4470/34/42/314