Fractional quantum fields
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S. C. Lim
Abstract
Fractional Klein-Gordon field at zero and positive temperature can be obtained as an infinite collection of corresponding fractional oscillators. Free energy associated with the fractional field and topological symmetry breaking of quartic selfinteracting fractional Klein-Gordon scalar massive and massless field theories on toroidal spacetime are discussed. Generalization of fractional field to variable order is briefly considered.
Abstract
Fractional Klein-Gordon field at zero and positive temperature can be obtained as an infinite collection of corresponding fractional oscillators. Free energy associated with the fractional field and topological symmetry breaking of quartic selfinteracting fractional Klein-Gordon scalar massive and massless field theories on toroidal spacetime are discussed. Generalization of fractional field to variable order is briefly considered.
Chapters in this book
- Frontmatter I
- Preface V
- Contents VII
- Fractional electromagnetics 1
- Fractional electrodynamics with spatial dispersion 25
- Fractional-calculus tools applied to study the nonexponential relaxation in dielectrics 53
- Fractional diffusion-wave phenomena 71
- Fractional diffusion and parametric subordination 99
- The fractional advection-dispersion equation for contaminant transport 129
- Anomalous diffusion in interstellar medium 151
- Fractional kinetics in random/complex media 183
- Nonlocal quantum mechanics: fractional calculus approach 207
- Fractional quantum fields 237
- Fractional quantum mechanics of open quantum systems 257
- Fractional quantum mechanics with topological constraint 279
- Fractional time quantum mechanics 299
- Index 317
Chapters in this book
- Frontmatter I
- Preface V
- Contents VII
- Fractional electromagnetics 1
- Fractional electrodynamics with spatial dispersion 25
- Fractional-calculus tools applied to study the nonexponential relaxation in dielectrics 53
- Fractional diffusion-wave phenomena 71
- Fractional diffusion and parametric subordination 99
- The fractional advection-dispersion equation for contaminant transport 129
- Anomalous diffusion in interstellar medium 151
- Fractional kinetics in random/complex media 183
- Nonlocal quantum mechanics: fractional calculus approach 207
- Fractional quantum fields 237
- Fractional quantum mechanics of open quantum systems 257
- Fractional quantum mechanics with topological constraint 279
- Fractional time quantum mechanics 299
- Index 317
