Effective Lagrangians for Scalar Fields and Finite Size Effects in Field Theory

Abstract

We discuss the approach of effective field theory on a d-dimensional Euclidean space in a scalar theory with two different mass scales in the presence of flat surfaces. Then considering Dirichlet and Neumann boundary conditions, we implement the renormalization program in the lambda phi^{4} theory in a region bounded by two parallel hyperplanes in the one-loop approximation.

References in corpus (2)

• Radiative corrections to the Casimir energy and effective field theory
• Radiative corrections to the Casimir force and effective field theories

Cited by in corpus (26)

• Effective Actions, Boundaries and Precision Calculations of Casimir Energies
• The Dirichlet Casimir effect for ${\varphi }^4$ theory in (3+1) dimensions: A new renormalization approach
• A new renormalization approach to the Dirichlet Casimir effect for ϕ^4 theory in (1+1) dimensions
• The Two-loop Massless phi^4 Model in Non-translational Invariant Domain
• Finite Size Effects in Thermal Field Theory
• Scalar Quantum Field Theory in Disordered Media
• The Distributional Zeta-Function in Disordered Field Theory
• Spontaneous symmetry breaking in replica field theory
• Critical exponents from parallel plate geometries subject to periodic and antiperiodic boundary conditions
• Stochastic Quantization of $(\lambda {\varphi }^4{)}_d$ Scalar Theory: Generalized Langevin Equation with Memory Kernel
• The Dirichlet Casimir Energy For ϕ^4 Theory in a Rectangular Waveguide
• Stochastic Quantization of Scalar Fields in Einstein and Rindler Spacetime
• Repulsive to Attractive Fluctuation-Induced Forces in Disordered Landau-Ginzburg Model
• Multiplicative Noise in Euclidean Schwarzschild Manifold
• Casimir Energy Corrections by Light-Cone Fluctuations
• Radiative Correction to the Casimir Energy for Massive Scalar Field on a Spherical Surface
• Disordered Bose-Einstein condensate in hard walls trap
• Riemann zeta zeros and zero-point energy
• The Strong-Coupling Expansion and the Ultra-local Approximation in Field Theory
• One-loop effective action and the Riemann Zeros
• Finite-Size Effects in Disordered $\lambda {\varphi }^4$ Model
• Quantum Bound on the Specific Entropy in Strong-Coupled Scalar Field Theory
• The Bekenstein Bound in Asymptotically Free Field Theory
• One-Loop Correction to The Casimir Energy in Lifshitz-Like Theory
• Finite size effects in the phase transition patterns of coupled scalar field systems
• Æther Coupling Effects on Casimir Energy for Self-Interacting Scalar Field within Extra Dimension