Novel Studies on the \eta' Effective Lagrangian

The effective Lagrangian for \eta' incorporating the effect of the QCD \theta-angle has been developed previously. We revisit this Lagrangian and carry out its canonical quantization with particular attention to the test function spaces of constraints and the topology of the \eta'-field. In this way, we discover a new chirally symmetric coupling of this field to chiral multiplets which involves in particular fermions. This coupling violates P and T symmetries. In a subsequent paper, we will evaluate its contribution to the electric dipole moment (EDM) of fermions. Our motivation is to test whether the use of mixed states restores P and T invariance, so that EDM vanishes. This calculation will be shown to have striking new physical consequences.Comment: 14 pages, 1 figure; V2: NEW TITLE; revised version to be published in JHEP; references adde

Effective base point free theorem for log canonical pairs--Koll\'ar type theorem

We prove Koll\'ar's effective base point free theorem for log canonical pairs.Comment: 9 pages, v2: Appendix was added, minor revisions, v3: minor modifications, title changed, v4: minor modifications, to appear in Tohoku Math.

Treatment of Mountains in Indian English Poetry

Literature is not only a mirror of (human) life but also of nature. Nature is one of the important aspects of this world. Without nature, human life or animal life is impossible. That much relevance nature has in this world. To some it is nothing; to some it is some objects; for some it is supreme like God. Wordsworth’s pantheism is well known. He could see God in various forms of nature. All people are not like him. C.N. Annadurai, one of the leaders of Tamil country said he could see God in the laughter of poor people. Nature includes its various forms like mountains, hills, rivers, ponds, seas, canals, waterways, fruits, flowers, trees etc. Many poets both Indian and foreign have sung of these as their themes in their poetry. Mountain is also taken for treatment in poetry, drama, novel and short story. Mountains not only guard a country like India where, on the northern side, the Himalayas is like a wall giving protection to the people of India. They are the birth place for many a river. Indian poets have taken mountains / hills also for treatment in their poems. The present paper analyses some poets’ treatment of mountains in their writings

A Study of the Portrayal of Animals in the selected Indian Writing in English Poems

Animals are the part and parcel of human life so in literature. Indian authors in most of the languages have represented different kinds of animals sometimes in negative and other time in positive ways. In literature it has been seen that most of the genres have represented animals in different forms. Various names of studies are prevalent related to animal studies. Anthropocentrism studies human beings as the center of the whole universe. It deciphers the importance of other creators in the universe. Ecocentrism studies nature and environment as the key to life on the Earth. Animals like, cow, horse, buffalo, tigers, bird, dog, cat, elephant, pig, bull, dear sheep, calf and many more have been represented since the emergence of literary practices. This paper aims to provide a brief note on how animals have been represented in the poetic expressions

The Chern-Simons Source as a Conformal Family and Its Vertex Operators

In a previous work, a straightforward canonical approach to the source-free quantum Chern-Simons dynamics was developed. It makes use of neither gauge conditions nor functional integrals and needs only ideas known from QCD and quantum gravity. It gives Witten's conformal edge states in a simple way when the spatial slice is a disc. Here we extend the formalism by including sources as well. The quantum states of a source with a fixed spatial location are shown to be those of a conformal family, a result also discovered first by Witten. The internal states of a source are not thus associated with just a single ray of a Hilbert space. Vertex operators for both abelian and nonabelian sources are constructed. The regularized abelian Wilson line is proved to be a vertex operator. We also argue in favor of a similar nonabelian result. The spin-statistics theorem is established for Chern-Simons dynamics even though the sources are not described by relativistic quantum fields. The proof employs geometrical methods which we find are strikingly transparent and pleasing. It is based on the research of European physicists about ``fields localized on cones.'

Controllability of nonlocal impulsive stochastic quasilinear integrodifferential systems

Sufficient conditions for controllability of nonlocal impulsive stochastic quasilinear integrodifferential systems in Hilbert spaces are established. The results are obtained by using evolution operator, semigroup theory and fixed point technique. As an application, an example is provided to illustrate the obtained result

Existence of solutions of abstract fractional impulsive semilinear evolution equations

In this paper we prove the existence of solutions of fractional impulsive semilinear evolution equations in Banach spaces. A nonlocal Cauchy problem is discussed for the evolution equations. The results are obtained using fractional calculus and fixed point theorems. An example is provided to illustrate the theory

Controllability of Sobolev-type semilinear integrodifferential systems in Banach spaces

AbstractSufficient conditions for controllability of Sobolev-type semilinear integrodifferential systems in a Banach space are established. The results are obtained by using the Schaefer fixed-point theorem