All Outputs (40)

Order 1/N2 test of the Maldacena conjecture II: the full bulk one-loop contribution to the boundary Weyl anomaly (2003)
Journal Article
Mansfield, P., Nolland, D., & Ueno, T. (2003). Order 1/N2 test of the Maldacena conjecture II: the full bulk one-loop contribution to the boundary Weyl anomaly. Physics Letters B, 565, 207-210. https://doi.org/10.1016/s0370-2693%2803%2900750-0

We compute the complete bulk one-loop contribution to the Weyl anomaly of the boundary theory for IIB supergravity compactified on AdS5×S5. The result, that , reproduces the subleading term in the exact expression for the Weyl anomaly of super-Yang–M... Read More about Order 1/N2 test of the Maldacena conjecture II: the full bulk one-loop contribution to the boundary Weyl anomaly.

The critical dimension of bosonic string theory in AdS space-time. (2001)
Journal Article
Davies, I., & Mansfield, P. The critical dimension of bosonic string theory in AdS space-time. Manuscript submitted for publication

The Polyakov bosonic string is quantised in Euclidean Anti-de Sitter space-time using functional methods. Regularisation of the functional determinants using both heat-kernel and zeta function techniques shows that the AdS_{D+1} string reduces to the... Read More about The critical dimension of bosonic string theory in AdS space-time..

Test of gauged N = 8 SUGRA/N = 1 SYM duality at sub-leading order (2001)
Journal Article
Mansfield, P., & Nolland, D. (2001). Test of gauged N = 8 SUGRA/N = 1 SYM duality at sub-leading order. Physics Letters B, 515(1-2), 192-196. https://doi.org/10.1016/s0370-2693%2801%2900826-7

An infra-red fixed point of N = 1 super-Yang–Mills theory is believed to be dual to a solution of five-dimensional gauged N = 8 supergravity. We test this conjecture at next to leading order in the large N expansion by computing bulk one-loop correct... Read More about Test of gauged N = 8 SUGRA/N = 1 SYM duality at sub-leading order.

Order 1/N2 test of the Maldacena conjecture: cancellation of the one-loop Weyl anomaly (2000)
Journal Article
Mansfield, P., & Nolland, D. (2000). Order 1/N2 test of the Maldacena conjecture: cancellation of the one-loop Weyl anomaly. Physics Letters B, 495(3-4), 435-439. https://doi.org/10.1016/s0370-2693%2800%2901247-8

We test the Maldacena conjecture for type IIB string theory / Yang–Mills by calculating the one-loop corrections in the bulk theory to the Weyl anomaly of the boundary CFT when the latter is coupled to a Ricci flat metric. The contributions cancel wi... Read More about Order 1/N2 test of the Maldacena conjecture: cancellation of the one-loop Weyl anomaly.

Calculating the infra-red limit of quantum field theory using analyticity of correlation functions. (2000)
Journal Article
Kjærgaard, L., & Mansfield, P. (2000). Calculating the infra-red limit of quantum field theory using analyticity of correlation functions. Journal of High Energy Physics, 2000(03), Article 008. https://doi.org/10.1088/1126-6708/2000/03/008

We describe a general method for calculating the infra-red limit of physical quantities in unitary quantum field theories. Using analyticity of Green functions in a complex scale parameter, the infra-red limit is expressed as a contour integral entir... Read More about Calculating the infra-red limit of quantum field theory using analyticity of correlation functions..

Finite Vevs from a large distance vacuum wave functional. (2000)
Journal Article
Jaramillo, A., & Mansfield, P. (2000). Finite Vevs from a large distance vacuum wave functional. International Journal of Modern Physics A, 16(04), 581-600. https://doi.org/10.1142/s0217751x00000288

We show how to compute vacuum expectation values from derivative expansions of the vacuum wave functional. Such expansions appear to be valid only for slowly varying fields, but by exploiting analyticity in a complex scale parameter we can reconstruc... Read More about Finite Vevs from a large distance vacuum wave functional..

The Schrödinger representation for Fermions and a local expansion of the Schwinger model. (2000)
Journal Article
Nolland, D., & Mansfield, P. (2000). The Schrödinger representation for Fermions and a local expansion of the Schwinger model. International Journal of Modern Physics A, 15(03), 429-447. https://doi.org/10.1142/s0217751x00000203

We discuss the functional representation of fermions, and obtain exact expressions for wave-functionals of the Schwinger model. Known features of the model such as bosonization and the vacuum angle arise naturally. Contrary to expectations, the vacuu... Read More about The Schrödinger representation for Fermions and a local expansion of the Schwinger model..

Calculating the infrared central charges for perturbed minimal models: improving the RG perturbation (1999)
Journal Article
Kjærgaard, L., & Mansfield, P. (1999). Calculating the infrared central charges for perturbed minimal models: improving the RG perturbation. Physics Letters B, 462(1-2), 103-108. https://doi.org/10.1016/s0370-2693%2899%2900895-3

We illustrate a method for improving Renormalisation Group improved perturbation theory by calculating the infrared central charge of a perturbed conformal field theory. The additional input is a dispersion relation that exploits analyticity of the e... Read More about Calculating the infrared central charges for perturbed minimal models: improving the RG perturbation.

One-loop conformal anomalies from AdS/CFT in the Schrödinger representation (1999)
Journal Article
Mansfield, P., & Nolland, D. (1999). One-loop conformal anomalies from AdS/CFT in the Schrödinger representation. Journal of High Energy Physics, 1999(07), https://doi.org/10.1088/1126-6708/1999/07/028

We compute the conformal anomalies of boundary CFTs for scalar and fermionic fields propagating in AdS spacetime at one-loop. The coefficients are quantized, with values related to the mass-spectra for Kaluza-Klein compactifications of Supergravity o... Read More about One-loop conformal anomalies from AdS/CFT in the Schrödinger representation.

Yang-Mills beta-function from a large-distance expansion of the Schrödinger functional (1999)
Journal Article
Mansfield, P., & Sampaio, M. (1999). Yang-Mills beta-function from a large-distance expansion of the Schrödinger functional. Nuclear Physics B, 545(1-3), 623-655. https://doi.org/10.1016/s0550-3213%2898%2900871-2

For slowly varying fields the Yang-Mills Schrödinger functional can be expanded in terms of local functionals. We show how analyticity in a complex scale parameter enables the Schrödinger functional for arbitrarily varying fields to be reconstructed... Read More about Yang-Mills beta-function from a large-distance expansion of the Schrödinger functional.

Non-perturbative Vevs from a local expansion. (1998)
Journal Article
Jaramillo, A., & Mansfield, P. (1998). Non-perturbative Vevs from a local expansion. Acta Physica Polonica B, 29(9), 2487-2492

We propose a method for the calculation of vacuum expectation values (VEVs) given a non-trivial, long-distance vacuum wave functional (VWF) of the kind that arises, for example, in variational calculations. The VEV is written in terms of a Schrödinge... Read More about Non-perturbative Vevs from a local expansion..

Short distance properties from large distance behaviour. (1998)
Journal Article
Mansfield, P., Pachos, J., & Sampaio, M. (1998). Short distance properties from large distance behaviour. International Journal of Modern Physics A, 13(23), 4101-4122. https://doi.org/10.1142/s0217751x9800192x

For slowly varying fields the vacuum functional of a quantum field theory may be expanded in terms of local functionals. This expansion satisfies its own form of the Schrödinger equation from which the expansion coefficients can be found. For scalar... Read More about Short distance properties from large distance behaviour..

A Large Distance Expansion for Quantum Field Theory. (1997)
Presentation / Conference Contribution
Mansfield, P. (1997, April). A Large Distance Expansion for Quantum Field Theory. Presented at 2nd International A.D. Sakharov Conference, Moscow, Russia, May 20-24, 1996, Moscow, Russia

Using analyticity of the vacuum wave-functional under complex scalings, the vacuum of a quantum field theory may be reconstructed from a derivative expansion valid for slowly varying fields. This enables the eigenvalue problem for the Hamiltonian to... Read More about A Large Distance Expansion for Quantum Field Theory..

Boundary conformal field theories on random surfaces and the non-critical open string (1996)
Journal Article
Mansfield, P., & Neves, R. (1996). Boundary conformal field theories on random surfaces and the non-critical open string. Nuclear Physics B, 479(1-2), 82-112. https://doi.org/10.1016/0550-3213%2896%2900446-4

We analyse boundary conformal field theories on random surfaces using the conformal gauge approach of David, Distler and Kawai. The crucial point is the choice of boundary conditions on the Liouville field. We discuss the Weyl anomaly cancellation fo... Read More about Boundary conformal field theories on random surfaces and the non-critical open string.

Modification of the topological expansion of the O(3) sigma model. (1996)
Journal Article
Costambeys, R., & Mansfield, P. (1996). Modification of the topological expansion of the O(3) sigma model. Nuclear Physics B, 462(1), 141-166. https://doi.org/10.1016/0550-3213%2896%2988698-6

We show that the one-instanton sector moduli-space divergence of the O(3) sigma model leads to an unacceptable dependence of Green functions on the arbitrary way that the field is split into a quantum fluctuation about a classical background. In part... Read More about Modification of the topological expansion of the O(3) sigma model..

The O(N) σ-model Laplacian (1996)
Journal Article
Mansfield, P., & Pachos, J. (1996). The O(N) σ-model Laplacian. Physics Letters B, 365(1-4), 169-174. https://doi.org/10.1016/0370-2693%2895%2901333-4

For fields that vary slowly on the scale of the lightest mass the logarithm of the vacuum functional of a massive quantum field theory can be expanded in terms of local functionals satisfying a form of the Schrödinger equation, the principal ingredie... Read More about The O(N) σ-model Laplacian.

Reconstructing the vacuum functional of Yang-Mills from its large distance behaviour (1996)
Journal Article
Mansfield, P. (1996). Reconstructing the vacuum functional of Yang-Mills from its large distance behaviour. Physics Letters B, 365(1-4), 207-212. https://doi.org/10.1016/0370-2693%2895%2901332-6

For fields that vary slowly on the scale of the lightest mass the logarithm of the vacuum functional can be expanded as a sum of local functionals. For Yang-Mills theory the leading term in the expansion dominates large distance effects and leads to... Read More about Reconstructing the vacuum functional of Yang-Mills from its large distance behaviour.

The vacuum functional at large distances (1995)
Journal Article
Mansfield, P. (1995). The vacuum functional at large distances. Physics Letters B, 358(3-4), 287-296. https://doi.org/10.1016/0370-2693%2895%2901007-d

For fields that vary slowly on the scale of the lightest mass the logarithm of the vacuum functional can be expanded as a sum of local functionals, however, this does not satisfy the obvious form of the Schrödinger equation. For ϕ4 theory we construc... Read More about The vacuum functional at large distances.

Continuum strong-coupling expansion of Yang-Mills theory: quark confinement and infra-red slavery (1994)
Journal Article
Mansfield, P. (1994). Continuum strong-coupling expansion of Yang-Mills theory: quark confinement and infra-red slavery. Nuclear Physics B, 418(1-2), 113-130. https://doi.org/10.1016/0550-3213%2894%2990240-2

We solve Schrödinger's equation for the ground-state of four-dimensional Yang-Mills theory as an expansion in inverse powers of the coupling. Expectation values computed with the leading-order approximation are reduced to a calculation in two-dimensi... Read More about Continuum strong-coupling expansion of Yang-Mills theory: quark confinement and infra-red slavery.

The consistency of topological expansions in field theory: “BRST anomalies” in strings and Yang-Mills (1994)
Journal Article
Mansfield, P. (1994). The consistency of topological expansions in field theory: “BRST anomalies” in strings and Yang-Mills. Nuclear Physics B, 416(1), 205-226. https://doi.org/10.1016/0550-3213%2894%2990583-5

Many field theories of physical interest have configuration spaces consisting of disconnected components. Quantum mechanical amplitudes are then expressed as sums over these components. We use the Faddeev-Popov approach to write the terms in this top... Read More about The consistency of topological expansions in field theory: “BRST anomalies” in strings and Yang-Mills.