Quick search Find article
Quick search
Find article

Quantum field theory on fractal spacetime: a new regularisation method

K Svozil

Show affiliations


Spacetime is modelled as a fractal subset of Rn. Analysis on homogeneous sets with non-integer Hausdorff dimensions is applied to the low-order perturbative renormalisation of quantum electrodynamics. This new regularisation method implements the Dirac matrices and tensors in R4 without difficulties, is gauge invariant, covariant and differs from dimensional regularisation in some aspects.


PACS

11.10.Lm Nonlinear or nonlocal theories and models

12.20.Ds Specific calculations

02.10.Yn Matrix theory

11.10.Gh Renormalization

MSC

81V10 Electromagnetic interaction; quantum electrodynamics

81T15 Perturbative methods of renormalization

Subjects

Mathematical physics

Particle physics and field theory

Dates

Issue 12 (21 August 1987)



  1. Quantum field theory on fractal spacetime: a new regularisation method

    K Svozil 1987 J. Phys. A: Math. Gen. 20 3861

  2. Logarithmic corrections to finite-size scaling in strips

    J L Cardy 1986 J. Phys. A: Math. Gen. 19 L1093

  3. Scaling of the active zone in the Eden process on percolation networks and the ballistic deposition model

    F Family and T Vicsek 1985 J. Phys. A: Math. Gen. 18 L75

  4. Differential equations, Frobenius theorem and local flows on supermanifolds

    U Bruzzo and R Cianci 1985 J. Phys. A: Math. Gen. 18 417

  5. Creation and annihilation operators for SU(3) in an SO(6,2) model

    A J Bracken and J H MacGibbon 1984 J. Phys. A: Math. Gen. 17 2581

  6. Notes on 'particle detectors'

    P G Grove and A C Ottewill 1983 J. Phys. A: Math. Gen. 16 3905

  7. Hard hexagons: exact solution

    R J Baxter 1980 J. Phys. A: Math. Gen. 13 L61

  8. Orbital angular momentum and massless particles

    M A Lohe 1977 J. Phys. A: Math. Gen. 10 525

  9. Quantum field theory on a cone

    J S Dowker 1977 J. Phys. A: Math. Gen. 10 115

  10. Community detection with and without prior information

    A. E. Allahverdyan et al 2010 EPL 90 18002

Related review articles

What's this?
View review articles related to this research to gain an insight into the key trends in this subject area. Related review articles are selected based on PACS/MSC codes, and are no more than three years old.

  1. Chern–Simons forms in gravitation theories
  2. Supersymmetric many-particle quantum systems with inverse-square interactions
  3. Superconformal mechanics
More

View by subject




Export








Please login to access our web services, or create an account if you don't yet have one.

You must have cookies enabled in your web browser to be able to login.

Username
Password

Forgotten your password? Get a new one here.