A note on the Lee-Yang circle theorem
A simple proof of the celebrated theorem of Lee and Yang is attempted in this short note.
cond-mat.stat-mech↗
arXiv subjects
Ranjan Kumar Ghosh
Publications and source records attributed to Ranjan Kumar Ghosh.
Duality and even number spin-correlation functions in the two dimensional square lattice ising model
The Kramers-Wannier duality is shown to hold for all the even number spin correlation functions of the two dimensional square lattice Ising model in the sense that the high temperature $(T>T_{c})$ expressions for these correlation functions are transformed into the low temperature $(T<T_{c})$ expressions under this duality transformations.
cond-mat.stat-mech↗
On the low temperature series expansion for the diagonal correlation functions in the two-dimensional Ising model
A previously tested differential equation method for generating low temperature series expansion for diagonal spin-spin correlation functions in the d=2 Ising model is extended to generate the non-universal terms for arbitrary separation of the spins. This extends the earlier calculations of these correlation functions.
cond-mat.stat-mech↗
A non-singular potential for the Dirac monopole
We propose a new vector potential for the Abelian magnetic monopole. The potential is non-singular in the entire region around the monopole. We argue how the Dirac quantization condition can be derived for any choice of potential.
hep-th↗
Is There a Problem with Quantum Gravitation?
We argue that Quantum Gravitation forces us to sum over metrics of all signatures.
hep-th↗
Exactly Solvable Fermionic N-chain Models
Motivated by the problem of N coupled Hubbard chains, we investigate a generalisation of the Schulz-Shastry model containing two species of one-dimensional fermions interacting via a gauge field that depends on the positions of all the particles of the other species. The exact many body ground state of the model can be easily obtained through a unitary transformation of the model. The correlation functions are Luttinger-like - i.e., they decay through power laws with non-integer exponents. Through the interaction dependent correlation functions of the two-particle operators, we identify the relevant perturbations and hence, possible instabilities.
cond-mat.stat-mech↗