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Plahte diagrams for string scattering amplitudes (2021)
Journal Article
Srisangyingcharoen, P., & Mansfield, P. (2021). Plahte diagrams for string scattering amplitudes. Journal of High Energy Physics, 2021(4), Article 17. https://doi.org/10.1007/jhep04%282021%29017

Plahte identities are monodromy relations between open string scattering amplitudes at tree level derived from the Koba-Nielsen formula. We represent these identities by polygons in the complex plane. These diagrams make manifest the appearance of si... Read More about Plahte diagrams for string scattering amplitudes.

Intersection of world-lines on curved surfaces and path-ordering of the Wilson loop (2018)
Journal Article
Curry, C., & Mansfield, P. (2018). Intersection of world-lines on curved surfaces and path-ordering of the Wilson loop. Journal of High Energy Physics, 2018(6), Article 81. https://doi.org/10.1007/jhep06%282018%29081

We study contact interactions for long world-lines on a curved surface, focusing on the average number of times two world-lines intersect as a function of their end-points. The result can be used to extend the concept of path-ordering, as employed in... Read More about Intersection of world-lines on curved surfaces and path-ordering of the Wilson loop.

Entanglement of self-interacting scalar fields in an expanding spacetime (2016)
Journal Article
Alexander, H., de Souza, G., Mansfield, P., da Paz, I., & Sampaio, M. (2016). Entanglement of self-interacting scalar fields in an expanding spacetime. European Physical Society Letters, 115(1), Article 10006. https://doi.org/10.1209/0295-5075/115/10006

We evaluate self-interaction effects on the quantum correlations of field modes of opposite momenta for scalar $\lambda \phi^4$ theory in a two-dimensional asymptotically flat Robertson-Walker spacetime. Such correlations are encoded both in the von... Read More about Entanglement of self-interacting scalar fields in an expanding spacetime.

Alice and Bob in an expanding spacetime (2015)
Journal Article
Alexander, H., de Souza, G., Mansfield, P., & Sampaio, M. (2015). Alice and Bob in an expanding spacetime. European Physical Society Letters, 111(6), Article 60001. https://doi.org/10.1209/0295-5075/111/60001

We investigate the teleportation of a qubit between two observers Alice and Bob in an asymptotically flat Robertson-Walker expanding spacetime. We use scalar or fermionic field modes inside Alice's and Bob's ideal cavities and show the degradation of... Read More about Alice and Bob in an expanding spacetime.

QED as the tensionless limit of the spinning string with contact interaction (2015)
Journal Article
Edwards, J. P., & Mansfield, P. (2015). QED as the tensionless limit of the spinning string with contact interaction. Physics Letters B, 746, 335-340. https://doi.org/10.1016/j.physletb.2015.05.024

QED with spinor matter is argued to correspond to the tensionless limit of spinning strings with contact interactions. The strings represent electric lines of force with charges at their ends. The interaction is constructed from a delta-function on t... Read More about QED as the tensionless limit of the spinning string with contact interaction.

The fermion content of the Standard Model from a simple world-line theory (2015)
Journal Article
Mansfield, P. (2015). The fermion content of the Standard Model from a simple world-line theory. Physics Letters B, 743, 353-356. https://doi.org/10.1016/j.physletb.2015.02.061

We describe a simple model that automatically generates the sum over gauge group representations and chiralities of a single generation of fermions in the Standard Model, augmented by a sterile neutrino. The model is a modification of the world-line... Read More about The fermion content of the Standard Model from a simple world-line theory.

Delta-function interactions for the bosonic and spinning strings and the generation of Abelian gauge theory (2015)
Journal Article
Edwards, J., & Mansfield, P. (2015). Delta-function interactions for the bosonic and spinning strings and the generation of Abelian gauge theory. Journal of High Energy Physics, 2015(1), Article 127. https://doi.org/10.1007/jhep01%282015%29127

We construct contact interactions for bosonic and spinning strings. In the tensionless limit of the spinning string this reproduces the super-Wilson loop that couples spinor matter to Abelian gauge theory. Adding boundary terms that quantise the moti... Read More about Delta-function interactions for the bosonic and spinning strings and the generation of Abelian gauge theory.

Faraday's Lines of Force as Strings: from Gauss' Law to the Arrow of Time (2012)
Journal Article
Mansfield, P. (2012). Faraday's Lines of Force as Strings: from Gauss' Law to the Arrow of Time. Journal of High Energy Physics, 2012(10), Article 149. https://doi.org/10.1007/jhep10%282012%29149

We reformulate classical electromagnetism as the statistical mechanics of lines of electric flux with dynamics described by the string action in four dimensions. The retarded solution to Maxwell’s equations emerges naturally as an average over a micr... Read More about Faraday's Lines of Force as Strings: from Gauss' Law to the Arrow of Time.

Symmetries of Self-Dual Yang-Mills Equations Dimensionally Reduced From (2,2) Space-time (2011)
Journal Article
Mansfield, P., & Wardlow, A. (2011). Symmetries of Self-Dual Yang-Mills Equations Dimensionally Reduced From (2,2) Space-time. Journal of High Energy Physics, 2011(01), Article 097. https://doi.org/10.1007/jhep01%282011%29097

We construct infinite-dimensional symmetries of the two dimensional equation which results from the dimensional reduction of the self-duality condition in (2, 2) signature space-time. These are symmetries of the dimensionally reduced Chalmers-Siegel... Read More about Symmetries of Self-Dual Yang-Mills Equations Dimensionally Reduced From (2,2) Space-time.