Homological Perturbation Theory for Nonperturbative Integrals
نویسندگان
چکیده
منابع مشابه
Homological Perturbation Theory and Associativitypedro
In this paper, we prove various results concerning DGA-algebras in the context of the Homological Perturbation Theory. We distinguish two class of contractions for algebras: full algebra contractions and semi-full algebra contractions. A full algebra contraction is, in particular , a semi-full algebra contraction. Taking a full algebra contraction and an \algebra perturbation" as data of the Ba...
متن کاملHomological Perturbation Theory for Algebras over Operads
We extend homological perturbation theory to encompass algebraic structures governed by operads and cooperads. Specifically, for an operad O, we define the notion of an ‘O-algebra contraction’ and we prove that the formulas of the Basic Perturbation Lemma preserve O-algebra contractions. Over a ground ring containing the rational numbers, we give explicit formulas for constructing an O-algebra ...
متن کاملHomological Perturbation Theory and Mirror Symmetry
We explain how deformation theories of geometric objects such as complex structures, Poisson structures and holomorphic bundle structures lead to differential Gerstenhaber or Poisson algebras. We use homological perturbation theory to obtain A∞ algebra structures and some canonically defined deformations of such structures on the cohomology. We formulate the A∞ algebraic mirror symmetry as the ...
متن کاملTwo–loop integrals in chiral perturbation theory
We consider chiral perturbation theory in the meson sector at order E 6. In the terminology of the external field technique, the two–loop graphs so generated are of the sunset type. We discuss the evaluation of several of these in the case where the masses of the particles running in the loops are equal. In particular, we present integral representations that are suitable for the evaluation of ...
متن کاملResolution via Homological Perturbation
The purpose of this paper is to review an algorithm for computing “small” resolutions in homological algebra, to provide examples of its use as promised in [L1], [LS], and to illustrate the use of computer algebra in an area not usually associated with that subject. Comparison of the complexes produced by the method discussed here with those produced by other methods shows that the algorithm ge...
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: Letters in Mathematical Physics
سال: 2015
ISSN: 0377-9017,1573-0530
DOI: 10.1007/s11005-015-0791-9