arxiv.org/abs/1702.03364v1
The credit on {\it reduction theory} goes back to the work of Lagrange, Gauss, Hermite, Korkin, Zolotarev, and Minkowski. Modern reduction theory is voluminous and includes the work of A. Lenstra, H. Lenstra and L. Lovasz who created the well known L...
arxiv.org/abs/2008.09718v4
We use effective field theory to compute the influence of nuclear structure on precision calculations of atomic energy levels. As usual, the EFT's effective couplings correspond to the various nuclear properties (such as the charge radius, nuclear po...
arxiv.org/abs/1611.01112v1
We discuss the validity of the Standard Model Effective Field Theory (SM EFT) as the low-energy effective theory for the two-Higgs-doublet Model (2HDM). Using the up-to-date Higgs signal strength measurements at the LHC, one can obtain a likelihood f...
arxiv.org/abs/2110.02755v5
Gambits are central to human decision-making. Our goal is to provide a theory of Gambits. A Gambit is a combination of psychological and technical factors designed to disrupt predictable play. Chess provides an environment to study gambits and behavi...
arxiv.org/abs/0902.4581v3
We use Morse theory of the Yang-Mills functional to compute the Betti numbers of the moduli stack of flat U(3)-bundles over a compact nonorientable surface. Our result establishes the antiperfection conjecture of Ho-Liu, and provides evidence for t...
arxiv.org/abs/1201.2060v1
I briefly review the progress of accretion disc theory since the seminal paper of Shakura and Sunyaev....
arxiv.org/abs/1112.0542v3
We develop the idea for a new string field theory of ours that was proposed earlier in a very rudimentary form in a talk in the Symposium of Tohwa University [1]. The main point is to describe the system of strings in the Universe by means of the ima...
arxiv.org/abs/2303.04618v1
The present work contains a review of some of the work we have done on complex action or non-Hermitian Hamiltonian theory, especially the result that the anti-Hermitian part of the Hamiltonian functions by determining the actual solution to the equat...
arxiv.org/abs/hep-th/0511059v3
In this work, we study the three-dimensional non-Abelian noncommutative supersymmetric Chern-Simons model with the U(N) gauge group. Using a superfield formulation, we prove that, for the pure gauge theory, the Green functions are one-loop finite i...
arxiv.org/abs/2505.09750v1
In this note we present a brief overview of connections between Chern-Simons theory and topological strings. A prominent role in this link has been played by large N dualities and holography. We demystify this by explaining why the Kahler form should...
arxiv.org/abs/0906.3467v1
We develop the theory of frames and Parseval frames for finite-dimensional vector spaces over the binary numbers. This includes characterizations which are similar to frames and Parseval frames for real or complex Hilbert spaces, and the discussion...
arxiv.org/abs/hep-lat/9307003v1
Perturbation theory and renormalization group methods are used to derive a finite-size scaling theory for the partition function zeroes and thermodynamic functions in the $O(n)$ $φ^4$ model in four dimensions. The leading power--law scaling behavi...
arxiv.org/abs/1910.11485v1
We establish, in the setting of equivariant motivic homotopy theory for a finite group, a version of tom Dieck's splitting theorem for the fixed points of a suspension spectrum. Along the way we establish structural results and constructions for equi...
arxiv.org/abs/2308.07459v2
OSCAR is an innovative new computer algebra system which combines and extends the power of its four cornerstone systems - GAP (group theory), Singular (algebra and algebraic geometry), Polymake (polyhedral geometry), and Antic (number theory). Assumi...
arxiv.org/abs/2408.02864v3
We present the construction of a theory of distributions (generalized functions) with a ``thick submanifold'', that is, a new theory of thick distributions on $\mathbb{R}^n$ whose domain contains a smooth submanifold on which the test functions may b...
arxiv.org/abs/2202.05600v2
The stability, electronic structure, optical and thermoelectric properties of Te-doped BaTiO3 are investigated by first-principal calculation based on the density functional theory and Boltzmann transport theory implemented in WIEN2K and BoltzTraP si...
arxiv.org/abs/1904.12714v1
We redefine the cord algebra, which was introduced by Lenhard Ng as a topological knot invariant, in terms of Morse Theory. The determination of the cord algebra of the unknot and of the righthanded trefoil are given. We proove that the cord algebra...
arxiv.org/abs/1001.2985v1
Comment on "Harold Jeffreys's Theory of Probability Revisited" [arXiv:0804.3173]...
arxiv.org/abs/1001.2975v1
Comment on "Harold Jeffreys's Theory of Probability Revisited" [arXiv:0804.3173]...
arxiv.org/abs/1001.3073v1
Comment on "Harold Jeffreys's Theory of Probability Revisited" [arXiv:0804.3173]...