Title: Maier-Saupe nematogenic fluid: field theoretical approach
Author(s):

	M. Holovko (Institute for Condensed Matter Physics of the National Academy of Sciences of Ukraine, 1 Svientsitskii Str., 79011 Lviv, Ukraine),
	D. di Caprio (Laboratoire d'Electrochimie, Chimie des Interfaces et Modélisation pour l'Energie (LECIME) ENSCP, Chimie ParisTech, Case 39, 4 Pl. Jussieu, 75005 Paris, France),
	I. Kravtsiv (Institute for Condensed Matter Physics of the National Academy of Sciences of Ukraine, 1 Svientsitskii Str., 79011 Lviv, Ukraine)

We adopt a field theoretical approach to study the structure and thermodynamics of a homogeneous Maier-Saupe nematogenic fluid interacting with anisotropic Yukawa potential. In the mean field approximation we retrieve the standard Maier-Saupe theory for liquid crystals. In this theory the density is expressed via the second order Legendre polynomial of molecule orientations. In the Gaussian approximation we obtain analytical expressions for the correlation functions, the elasticity constant, the free energy, the pressure, and the chemical potential. We also use Ward symmetry identities to set a simple condition for the correlation functions. Subsequently we find corrections due to fluctuations and show that density now contains Legendre polynomials of higher orders.

Key words: Maier-Saupe nematogenic fluid, field theoretical approach, correlation function, thermodynamics
PACS: 64.70.M-, 64.10.+h, 05.70.Fh

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