Zobrazeno 1 - 10
of 226
pro vyhledávání: '"Rajeev, S. G."'
Autor:
Rajeev, S. G.
We study the coupling constant renormalization of gauge theories with an infinite multiplet of fermions, using the zeta function method to make sense of the infinite sums over fermions. If the gauge group K is the maximal compact subgroup of a simple
Externí odkaz:
http://arxiv.org/abs/2403.19528
Autor:
Rajeev, S. G., Vitale, Patrizia
The light cone formalism of a massive scalar field has been shown by Dirac to have many advantages. But it is not manifestly Lorentz invariant. We will show that this is a feature not a bug: Lorentz invariance is indeed a symmetry, but in a different
Externí odkaz:
http://arxiv.org/abs/2205.09468
Autor:
Landi, Giovanni, Rajeev, S. G.
Infinitesimal symmetries of a classical mechanical system are usually described by a Lie algebra acting on the phase space, preserving the Poisson brackets. We propose that a quantum analogue is the action of a Lie bi-algebra on the associative $*$-a
Externí odkaz:
http://arxiv.org/abs/2106.11704
Autor:
Rajeev, S. G.
Arnold showed that the Euler equations of an ideal fluid describe geodesics in the Lie algebra of incompressible vector fields. We will show that helicity induces a splitting of the Lie algebra into two isotropic subspaces, forming a Manin triple. Vi
Externí odkaz:
http://arxiv.org/abs/2005.12125
Autor:
Rajeev, S. G.
Publikováno v:
Journal of Mathematical Physics 58, 052901 (2017)
Riemannian geometry is a particular case of Hamiltonian mechanics: the orbits of the hamiltonian $H=\frac{1}{2}g^{ij}p_{i}p_{j}$ are the geodesics. Given a symplectic manifold (\Gamma,\omega), a hamiltonian $H:\Gamma\to\mathbb{R}$ and a Lagrangian su
Externí odkaz:
http://arxiv.org/abs/1701.08026
Autor:
Rajeev, S. G., Ranken, Evan
Publikováno v:
Phys. Rev. D 93, 105016 (2016)
We consider a two-dimensional scalar field theory with a nilpotent current algebra, which is dual to the Principal Chiral Model. The quantum theory is renormalizable and not asymptotically free: the theory is strongly coupled at short distances (enco
Externí odkaz:
http://arxiv.org/abs/1603.08256
Autor:
Rajeev, S. G., Ranken, Evan
Publikováno v:
Phys. Rev. D 92, 045021 (2015)
We apply select ideas from the modern theory of stochastic processes in order to study the continuity/roughness of scalar quantum fields. A scalar field with logarithmic correlations (such as a massless field in 1+1 spacetime dimensions) has the mild
Externí odkaz:
http://arxiv.org/abs/1508.04655