Generalized multidimensional Epstein zeta functions
From MaRDI portal
Publication:4296102
DOI10.1063/1.530793zbMath0802.11034OpenAlexW2040959888MaRDI QIDQ4296102
Publication date: 15 December 1994
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.530793
Other Dirichlet series and zeta functions (11M41) Dirichlet series, exponential series and other series in one complex variable (30B50) Hurwitz and Lerch zeta functions (11M35)
Related Items
Casimir free energy for massive fermions: a comparative study of various approaches ⋮ Schwinger's formula for the Casimir effect at finite temperature ⋮ REPORT ON THE DETAILED CALCULATION OF THE EFFECTIVE POTENTIAL IN SPACETIMES WITH S1 × Rd TOPOLOGY AND AT FINITE TEMPERATURE ⋮ Kaluza-Klein pistons with noncommutative extra dimensions ⋮ Boundary behaviour of the four-point function in the 3-dimensional Gross-Neveu model ⋮ Finite-size, magnetic and chemical-potential effects on first-order phase transitions ⋮ Finite-size effects on the phase transition in a four- and six-fermion interaction model ⋮ Spectral \(\zeta\)-functions and \(\zeta\)-regularized functional determinants for regular Sturm-Liouville operators ⋮ Generation of off-critical zeros for hypercubic Epstein zeta functions ⋮ Quantum field theory on toroidal topology: algebraic structure and applications ⋮ CASIMIR EFFECT AND FUZZY SPHERE AS EXTRA DIMENSIONAL SPACE ⋮ Critical behavior of the compactified λϕ4 theory ⋮ Master equation vs. partition function: canonical statistics of ideal Bose-Einstein condensates ⋮ Finite-size effects on the chiral phase diagram of four-fermion models in four dimensions ⋮ Boundary effects on the mass and coupling constant in the compactified Ginzburg–Landau model: The boundary dependent critical temperature ⋮ SLAB BAG FERMIONIC CASIMIR EFFECT, CHIRAL BOUNDARIES AND VECTOR BOSON — MAJORANA FERMION PISTONS ⋮ Schwinger's method for the fermionic Casimir effect at finite temperature ⋮ Zeta functions of the Dirac operator on quantum graphs ⋮ General moment theorems for nondistinct unrestricted partitions ⋮ Spontaneous symmetry breaking in compactified \(\lambda\varphi^4\) theory ⋮ Finite temperature Casimir effect for massive scalars in a magnetic field
Cites Work
- Spectral functions, special functions and the Selberg zeta function
- Zeta function regularization of path integrals in curved spacetime
- Casimir effect in a D-dimensional flat space-time and the cut-off method
- Multiple zeta functions with arbitrary exponents
- Expressions for the zeta-function regularized Casimir energy
- Topological symmetry breaking in ϕ 4 theories on toroidal spacetime
- REGULARIZATION OF GENERAL MULTIDIMENSIONAL EPSTEIN ZETA-FUNCTIONS
- Multiple harmonic oscillator zeta functions
- Conventional zeta-function derivation of high-temperature expansions
- Casimir effect at finite temperature
- Inhomogeneous multidimensional Epstein zeta functions
- xi - and eta -function resummation of finite series: general case
- Exact values of some two-dimensional lattice sums
- EPSTEIN-FUNCTION ANALYSIS OF THE CASIMIR EFFECT AT FINITE TEMPERATURE FOR MASSIVE FIELDS
- Topological generation of gauge field mass by toroidal spacetime